{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Practical Statistics for Data Scientists (Python)\n",
    "# Chapter 7. Unsupervised Learning\n",
    "> (c) 2019 Peter C. Bruce, Andrew Bruce, Peter Gedeck"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import required Python packages."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:15.396291Z",
     "iopub.status.busy": "2022-04-26T20:05:15.396033Z",
     "iopub.status.idle": "2022-04-26T20:05:16.799856Z",
     "shell.execute_reply": "2022-04-26T20:05:16.798934Z"
    }
   },
   "outputs": [],
   "source": [
    "import math\n",
    "from pathlib import Path\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "from sklearn import preprocessing\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.mixture import GaussianMixture\n",
    "\n",
    "from scipy.cluster.hierarchy import linkage, dendrogram, fcluster\n",
    "from scipy.stats import multivariate_normal\n",
    "\n",
    "import prince\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm \n",
    "from matplotlib.colors import from_levels_and_colors\n",
    "import seaborn as sns\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:16.803359Z",
     "iopub.status.busy": "2022-04-26T20:05:16.803144Z",
     "iopub.status.idle": "2022-04-26T20:05:17.169931Z",
     "shell.execute_reply": "2022-04-26T20:05:17.168790Z"
    }
   },
   "outputs": [],
   "source": [
    "try:\n",
    "    import common\n",
    "    DATA = common.dataDirectory()\n",
    "except ImportError:\n",
    "    DATA = Path().resolve() / 'data'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define paths to data sets. If you don't keep your data in the same directory as the code, adapt the path names."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:17.173673Z",
     "iopub.status.busy": "2022-04-26T20:05:17.173391Z",
     "iopub.status.idle": "2022-04-26T20:05:17.178117Z",
     "shell.execute_reply": "2022-04-26T20:05:17.177106Z"
    }
   },
   "outputs": [],
   "source": [
    "SP500_DATA_CSV = DATA / 'sp500_data.csv.gz'\n",
    "SP500_SECTORS_CSV = DATA / 'sp500_sectors.csv'\n",
    "LOAN_DATA_CSV = DATA / 'loan_data.csv.gz'\n",
    "HOUSE_TASKS_CSV = DATA / 'housetasks.csv'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Principal Components Analysis\n",
    "## A simple example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:17.181288Z",
     "iopub.status.busy": "2022-04-26T20:05:17.181069Z",
     "iopub.status.idle": "2022-04-26T20:05:18.314879Z",
     "shell.execute_reply": "2022-04-26T20:05:18.313881Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                 XOM       CVX\n",
      "1993-01-29 -0.016991  0.072921\n",
      "1993-02-01  0.016991  0.102089\n",
      "1993-02-02  0.084954  0.029168\n",
      "1993-02-03  0.067964  0.058337\n",
      "1993-02-04  0.034378  0.044272\n"
     ]
    }
   ],
   "source": [
    "sp500_px = pd.read_csv(SP500_DATA_CSV, index_col=0)\n",
    "oil_px = sp500_px[['XOM', 'CVX']]\n",
    "print(oil_px.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:18.318299Z",
     "iopub.status.busy": "2022-04-26T20:05:18.317695Z",
     "iopub.status.idle": "2022-04-26T20:05:18.325603Z",
     "shell.execute_reply": "2022-04-26T20:05:18.324571Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        XOM       CVX\n",
      "0 -0.664711 -0.747101\n",
      "1  0.747101 -0.664711\n"
     ]
    }
   ],
   "source": [
    "pcs = PCA(n_components=2)\n",
    "pcs.fit(oil_px)\n",
    "loadings = pd.DataFrame(pcs.components_, columns=oil_px.columns)\n",
    "print(loadings)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:18.328867Z",
     "iopub.status.busy": "2022-04-26T20:05:18.328651Z",
     "iopub.status.idle": "2022-04-26T20:05:18.479819Z",
     "shell.execute_reply": "2022-04-26T20:05:18.478873Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def abline(slope, intercept, ax):\n",
    "    \"\"\"Calculate coordinates of a line based on slope and intercept\"\"\"\n",
    "    x_vals = np.array(ax.get_xlim())\n",
    "    return (x_vals, intercept + slope * x_vals)\n",
    "\n",
    "ax = oil_px.plot.scatter(x='XOM', y='CVX', alpha=0.3, figsize=(4, 4))\n",
    "ax.set_xlim(-3, 3)\n",
    "ax.set_ylim(-3, 3)\n",
    "ax.plot(*abline(loadings.loc[0, 'CVX'] / loadings.loc[0, 'XOM'], 0, ax),\n",
    "        '--', color='C1')\n",
    "ax.plot(*abline(loadings.loc[1, 'CVX'] / loadings.loc[1, 'XOM'], 0, ax),\n",
    "        '--', color='C1')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interpreting principal components"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:18.483091Z",
     "iopub.status.busy": "2022-04-26T20:05:18.482878Z",
     "iopub.status.idle": "2022-04-26T20:05:18.621457Z",
     "shell.execute_reply": "2022-04-26T20:05:18.620456Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "syms = sorted(['AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', 'XOM', 'SLB', 'COP',\n",
    "        'JPM', 'WFC', 'USB', 'AXP', 'WMT', 'TGT', 'HD', 'COST'])\n",
    "top_sp = sp500_px.loc[sp500_px.index >= '2011-01-01', syms]\n",
    "\n",
    "sp_pca = PCA()\n",
    "sp_pca.fit(top_sp)\n",
    "\n",
    "explained_variance = pd.DataFrame(sp_pca.explained_variance_)\n",
    "ax = explained_variance.head(10).plot.bar(legend=False, figsize=(4, 4))\n",
    "ax.set_xlabel('Component')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:18.624749Z",
     "iopub.status.busy": "2022-04-26T20:05:18.624532Z",
     "iopub.status.idle": "2022-04-26T20:05:18.634962Z",
     "shell.execute_reply": "2022-04-26T20:05:18.633965Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       AAPL       AXP       COP      COST      CSCO       CVX        HD   \n",
      "0 -0.300825 -0.246332 -0.261529 -0.273634 -0.064059 -0.444490 -0.207983  \\\n",
      "1 -0.505116 -0.139426  0.174212 -0.416307 -0.031939  0.289373 -0.278002   \n",
      "2 -0.786730  0.135458 -0.002367  0.465862 -0.007524  0.082374  0.166320   \n",
      "3 -0.120586  0.061814 -0.206026  0.092596  0.003904 -0.577665  0.162814   \n",
      "4  0.111576 -0.596666 -0.005813  0.555529 -0.039860  0.109016 -0.185488   \n",
      "\n",
      "       INTC       JPM      MSFT       SLB       TGT       USB       WFC   \n",
      "0 -0.076956 -0.196397 -0.105012 -0.481786 -0.148833 -0.116421 -0.145684  \\\n",
      "1 -0.033898 -0.040723 -0.053954  0.472494 -0.228123 -0.054796 -0.047427   \n",
      "2 -0.003518  0.062261  0.016248 -0.194822  0.160833  0.048976  0.041932   \n",
      "3 -0.001605  0.057687 -0.012558  0.680914  0.109895  0.016752  0.018614   \n",
      "4 -0.072047 -0.385160 -0.077135  0.181332 -0.055557 -0.155440 -0.216425   \n",
      "\n",
      "        WMT       XOM  \n",
      "0 -0.122304 -0.317952  \n",
      "1 -0.222889  0.154192  \n",
      "2  0.175806  0.090167  \n",
      "3  0.058439 -0.295204  \n",
      "4  0.091541  0.013277  \n"
     ]
    }
   ],
   "source": [
    "loadings = pd.DataFrame(sp_pca.components_[0:5, :], \n",
    "                        columns=top_sp.columns)\n",
    "print(loadings)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:18.637910Z",
     "iopub.status.busy": "2022-04-26T20:05:18.637692Z",
     "iopub.status.idle": "2022-04-26T20:05:19.346941Z",
     "shell.execute_reply": "2022-04-26T20:05:19.346108Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "maxPC = 1.01 * loadings.loc[0:5, :].abs().to_numpy().max()\n",
    "\n",
    "f, axes = plt.subplots(5, 1, figsize=(5, 5), sharex=True)\n",
    "\n",
    "for i, ax in enumerate(axes):\n",
    "    pc_loadings = loadings.loc[i, :]\n",
    "    colors = ['C0' if l > 0 else 'C1' for l in pc_loadings]\n",
    "    ax.axhline(color='#888888')\n",
    "    pc_loadings.plot.bar(ax=ax, color=colors)\n",
    "    ax.set_ylabel(f'PC{i+1}')\n",
    "    ax.set_ylim(-maxPC, maxPC)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Correspondence analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:19.350174Z",
     "iopub.status.busy": "2022-04-26T20:05:19.349974Z",
     "iopub.status.idle": "2022-04-26T20:05:19.648566Z",
     "shell.execute_reply": "2022-04-26T20:05:19.647837Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from adjustText import adjust_text\n",
    "\n",
    "housetasks = pd.read_csv(HOUSE_TASKS_CSV, index_col=0)\n",
    "\n",
    "ca = prince.CA(n_components=2)\n",
    "ca = ca.fit(housetasks)\n",
    "\n",
    "ax = ca.row_coordinates(housetasks).plot.scatter(x=0, y=1, figsize=(6,6))\n",
    "ca.column_coordinates(housetasks).plot.scatter(x=0, y=1, ax=ax, c='C1')\n",
    "texts = []\n",
    "for idx, row in ca.row_coordinates(housetasks).iterrows():\n",
    "    texts.append(plt.text(row[0], row[1], idx))\n",
    "for idx, row in ca.column_coordinates(housetasks).iterrows():\n",
    "    texts.append(plt.text(row[0], row[1], idx, color='C1'))\n",
    "adjust_text(texts, only_move={'points':'y', 'texts':'y'}) \n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# K-Means Clustering\n",
    "## A Simple Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:19.651645Z",
     "iopub.status.busy": "2022-04-26T20:05:19.651387Z",
     "iopub.status.idle": "2022-04-26T20:05:19.776186Z",
     "shell.execute_reply": "2022-04-26T20:05:19.775417Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                 XOM       CVX  cluster\n",
      "2011-01-03  0.736805  0.240681        3\n",
      "2011-01-04  0.168668 -0.584516        0\n",
      "2011-01-05  0.026631  0.446985        3\n",
      "2011-01-06  0.248558 -0.919751        0\n",
      "2011-01-07  0.337329  0.180511        3\n"
     ]
    }
   ],
   "source": [
    "df = sp500_px.loc[sp500_px.index >= '2011-01-01', ['XOM', 'CVX']]\n",
    "kmeans = KMeans(n_clusters=4, n_init='auto').fit(df)\n",
    "df['cluster'] = kmeans.labels_\n",
    "print(df.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:19.780060Z",
     "iopub.status.busy": "2022-04-26T20:05:19.779467Z",
     "iopub.status.idle": "2022-04-26T20:05:19.785847Z",
     "shell.execute_reply": "2022-04-26T20:05:19.785028Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        XOM       CVX\n",
      "0 -0.322102 -0.548787\n",
      "1 -1.132337 -1.735197\n",
      "2  0.980343  1.420729\n",
      "3  0.263669  0.356154\n"
     ]
    }
   ],
   "source": [
    "centers = pd.DataFrame(kmeans.cluster_centers_, columns=['XOM', 'CVX'])\n",
    "print(centers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:19.789186Z",
     "iopub.status.busy": "2022-04-26T20:05:19.788636Z",
     "iopub.status.idle": "2022-04-26T20:05:20.070264Z",
     "shell.execute_reply": "2022-04-26T20:05:20.069228Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(4, 4))\n",
    "ax = sns.scatterplot(x='XOM', y='CVX', hue='cluster', style='cluster', \n",
    "                     ax=ax, data=df)\n",
    "ax.set_xlim(-3, 3)\n",
    "ax.set_ylim(-3, 3)\n",
    "centers.plot.scatter(x='XOM', y='CVX', ax=ax, s=50, color='black')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K-Means Algorithm\n",
    "The _scikit-learn_ algorithm is repeated 10 times by default (`n_init`), `max_iter` is used to control the number of iterations. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:20.073463Z",
     "iopub.status.busy": "2022-04-26T20:05:20.073263Z",
     "iopub.status.idle": "2022-04-26T20:05:20.328909Z",
     "shell.execute_reply": "2022-04-26T20:05:20.328034Z"
    }
   },
   "outputs": [],
   "source": [
    "syms = sorted(['AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', 'XOM', 'SLB', 'COP', \n",
    "               'JPM', 'WFC', 'USB', 'AXP', 'WMT', 'TGT', 'HD', 'COST'])\n",
    "top_sp = sp500_px.loc[sp500_px.index >= '2011-01-01', syms]\n",
    "kmeans = KMeans(n_clusters=5, n_init='auto').fit(top_sp)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interpreting the Clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:20.332642Z",
     "iopub.status.busy": "2022-04-26T20:05:20.332045Z",
     "iopub.status.idle": "2022-04-26T20:05:20.337863Z",
     "shell.execute_reply": "2022-04-26T20:05:20.336778Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Counter({0: 300, 1: 283, 2: 277, 3: 167, 4: 104})\n"
     ]
    }
   ],
   "source": [
    "from collections import Counter\n",
    "print(Counter(kmeans.labels_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:20.341515Z",
     "iopub.status.busy": "2022-04-26T20:05:20.340735Z",
     "iopub.status.idle": "2022-04-26T20:05:21.033874Z",
     "shell.execute_reply": "2022-04-26T20:05:21.032964Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "centers = pd.DataFrame(kmeans.cluster_centers_, columns=syms)\n",
    "\n",
    "f, axes = plt.subplots(5, 1, figsize=(5, 6), sharex=True)\n",
    "for i, ax in enumerate(axes):\n",
    "    center = centers.loc[i, :]\n",
    "    maxPC = 1.01 * np.max(np.max(np.abs(center)))\n",
    "    colors = ['C0' if l > 0 else 'C1' for l in center]\n",
    "    ax.axhline(color='#888888')\n",
    "    center.plot.bar(ax=ax, color=colors)\n",
    "    ax.set_ylabel(f'Cluster {i + 1}')\n",
    "    ax.set_ylim(-maxPC, maxPC)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Selecting the Number of Clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:21.036920Z",
     "iopub.status.busy": "2022-04-26T20:05:21.036712Z",
     "iopub.status.idle": "2022-04-26T20:05:24.312517Z",
     "shell.execute_reply": "2022-04-26T20:05:24.311780Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "inertia = []\n",
    "for n_clusters in range(2, 15):\n",
    "    kmeans = KMeans(n_clusters=n_clusters, random_state=0, n_init='auto').fit(top_sp)\n",
    "    inertia.append(kmeans.inertia_ / n_clusters)\n",
    "inertias = pd.DataFrame({'n_clusters': range(2, 15), 'inertia': inertia})\n",
    "ax = inertias.plot(x='n_clusters', y='inertia')\n",
    "plt.xlabel('Number of clusters(k)')\n",
    "plt.ylabel('Average Within-Cluster Squared Distances')\n",
    "plt.ylim((0, 1.1 * inertias.inertia.max()))\n",
    "ax.legend().set_visible(False)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hierarchical Clustering\n",
    "## A Simple Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:24.316509Z",
     "iopub.status.busy": "2022-04-26T20:05:24.315376Z",
     "iopub.status.idle": "2022-04-26T20:05:24.324831Z",
     "shell.execute_reply": "2022-04-26T20:05:24.323893Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(17, 4)\n"
     ]
    }
   ],
   "source": [
    "syms1 = ['AAPL', 'AMZN', 'AXP', 'COP', 'COST', 'CSCO', 'CVX', 'GOOGL', 'HD', \n",
    "         'INTC', 'JPM', 'MSFT', 'SLB', 'TGT', 'USB', 'WFC', 'WMT', 'XOM']\n",
    "df = sp500_px.loc[sp500_px.index >= '2011-01-01', syms1].transpose()\n",
    "\n",
    "Z = linkage(df, method='complete')\n",
    "print(Z.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Dendrogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:24.328179Z",
     "iopub.status.busy": "2022-04-26T20:05:24.327578Z",
     "iopub.status.idle": "2022-04-26T20:05:24.528272Z",
     "shell.execute_reply": "2022-04-26T20:05:24.527514Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "dendrogram(Z, labels=list(df.index), color_threshold=0)\n",
    "plt.xticks(rotation=90)\n",
    "ax.set_ylabel('distance')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:24.531140Z",
     "iopub.status.busy": "2022-04-26T20:05:24.530927Z",
     "iopub.status.idle": "2022-04-26T20:05:24.538323Z",
     "shell.execute_reply": "2022-04-26T20:05:24.537627Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 : COP, CVX, SLB, XOM\n",
      "2 : AAPL, AXP, COST, CSCO, HD, INTC, JPM, MSFT, TGT, USB, WFC, WMT\n",
      "3 : AMZN\n",
      "4 : GOOGL\n"
     ]
    }
   ],
   "source": [
    "memb = fcluster(Z, 4, criterion='maxclust')\n",
    "memb = pd.Series(memb, index=df.index)\n",
    "for key, item in memb.groupby(memb):\n",
    "    print(f\"{key} : {', '.join(item.index)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Measures of Dissimilarity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:24.541099Z",
     "iopub.status.busy": "2022-04-26T20:05:24.540890Z",
     "iopub.status.idle": "2022-04-26T20:05:25.035308Z",
     "shell.execute_reply": "2022-04-26T20:05:25.034582Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = sp500_px.loc[sp500_px.index >= '2011-01-01', ['XOM', 'CVX']]\n",
    "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(5, 5))\n",
    "for i, method in enumerate(['single', 'average', 'complete', 'ward']):\n",
    "    ax = axes[i // 2, i % 2]\n",
    "    Z = linkage(df, method=method)\n",
    "    colors = [f'C{c+1}' for c in fcluster(Z, 4, criterion='maxclust')]\n",
    "    ax = sns.scatterplot(x='XOM', y='CVX', hue=colors, style=colors,\n",
    "                         size=0.5, ax=ax, data=df, legend=False)\n",
    "\n",
    "    ax.set_xlim(-3, 3)\n",
    "    ax.set_ylim(-3, 3)\n",
    "    ax.set_title(method)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Model based clustering\n",
    "## Multivariate Normal Distribution\n",
    "> Define a colormap that corresponds to the probability levels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:25.038469Z",
     "iopub.status.busy": "2022-04-26T20:05:25.038213Z",
     "iopub.status.idle": "2022-04-26T20:05:25.607326Z",
     "shell.execute_reply": "2022-04-26T20:05:25.606646Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZV1dX4ieIT6JE7iRJloSUKZOTJm1qMmbKQOasmYkbN46Fn6k0bK1N+wUuMj279mX1ynX06tudKdMnGryev78/yRKmxc/PL1p9M7lQR6VixYpkyJCBpUuXRnutv78/bm5uQqgFgr8QuVzOiqWrGTNyPN+//8DW1pZ+A3szZPgAnJycTLp3TBVopVLJh/fe3Ltzn/v3H/LowSOePH7Gi2cvCAgINPn+adKmJl+BvBQqXIDipYqRJ28ubGxsTL6vvphTqLds2k6HNl3IXyAf5y+fNHg9KUJtvmf5E4VC8ZvVLBAI/j0ePXxMjy59uHL5GgBFihZi/uLZ5MipPixmLGKaQH///oPrV29w7cp1rl+9yc0bt/j86Yvaa62trUmRMjmp0qQiZarkJE2ejMRJEuHunpD4CeMTN24cXOO44ujkiIO9PdY/BVYukxESGkpgQCDf/X/wzfcbnz9/4eOHj7z19OLNqzc8f/qSj94fefPakzevPdmzcx8A8eLHo1yFMlSvWYWqNarEOItbppCZTayL/8yRuHP7LoGBgTg7O5tlXzCxUA8bNoxq1aqROnVqvn//zqZNmzhz5gxHjx415bYCgSCGEhoayqzpc5kyaQZhYWHEiePK+Elj6NilHdbWpkuZiSkC7e//nYvnL3H+7AUunL/E3dv3UCgUv11jY2NDpiwZyZErO1lzZCFL1sxkypKB1GlTY29vb7Kz+Xz14f7dB9y8fptrl69z+b+rfPP9xu4de9m9Yy/29vZUrVGZlq2bUbFK+RhjaZtLrFOlTkmSpEn46P2RO7fumiW5MRyTPrtPnz7RunVrPnz4gJubG7lz5+bo0aNUqlTJlNsKBIIYyK0bt+nSsScP7j8EoFqNKsyZP52UqVKabE9LC7RCoeDWzTucPHaKk8dPc+3KjYjYcTip06SiYJECFCicn3wF8pAzTw6Tu/7VkSBhAkqXK0XpcqUA1djQW9dvc+zwCQ7uPcyzJ8/Zt/sA+3YfIHWaVHTu1oE2HVrFOCvbVFhZWVGgYD4OHTjCrZt3zCrUZo9RS0HEqAWC2E9wcDCTJ0xjzsz5yOVy3N0TMn32FBo1qW+y6VaWFOjAwEBOnzjLoYNHOXb4OJ8+fv7t8bTp01KqbAlKlCpGsZJFSJ4yuYVOqjtKpZIH9x6yZf02tm3aga/PNwDc4rnRs09XuvXqQpw4rhY9ozms6onjPPCYOJ1WbZqzZMUCg9aK0clkUhBCLRDEbq5fvUGXjj14/OgpAA0b12PGnKkkSuRukv0sJdDfv//g6KFj7Nm1nxNHTxEUFBTxmGscV8qUK0X5ymUpU6E0adKmtsgZjUVQUBA7t+5h0ZwlPHvyHIBEid0ZOXYYrdu1MGkIQxvmEOrdO/fSsmk7ChTMz7lLJwxaSwi1QCCwKCEhIUwaP5XZM+ahUChInCQx8xbOpFadGibb09wiHRQUxNHDJ9ixdRfHj5wkODg44rFUqVNStWYVqtSoSLGSRU0aW7YUcrmcfTsP4DF+Gq9evAagYOECzF8yi+w5slnkTKYW60cPH1MwT3FcXV3x9nljkEdICLVAILAYt27cplOH7jx68BiAJs0aMWPOFBIkiG+S/cwp0AqFgosXLrN54zb27dqPv//3iMfSZ0xH7fo1qVm3Brnz5jSZWz+mERYWxsrFq5k6cSY/vv/A3t6eUeOG0bNvN7Nb16YW6pCQENzjpkChUPDc8yHJkiXVey0h1AKBwOyEhYUxfcospk6eiUwmI1HiRMxfNMtkVrQ5Bfqtpxcb121m47qteL7xjPh9ylQpqNeoDnUb1SFXnhz/jDir48O7DwzsPZRjh1Qu4UpVKrBszSKTfUHThKnFOlvGPHi+ecuJM4cMSiiL0XXUAoHg7+Pxoyd0bNuNWzdvA1C/YR1mz5+Bu3tCo+9lLoEOCwvj8MGjrFmxnlMnzhBu08SJG4fa9WvSuEVDihYvbLGYbEwjWYpkbNixhvWrNjJi4BiOHz1JueKV2bZ7I1myZbb08YxG2rRp8Hzzljdv3pot81sItUAg0BuFQsHiBcsYPWI8wcHBxI8fj9nzp9Po5wxfY2IugX7n9Z41K9exbvVGvD98jPh9qbIlaN66KdXrVMPZ2fzlU7EBKysrWndoSf5C+WjTuAOvX72hcrmabN21nqI/R0WaGlPXVadImQIALzPOphZCLRAI9OKd1zu6dOzJ6ZNnAahYuTxLls8nWfJkRt/L1CKtVCq5eOEySxYu5+C+wxG1zokSu9OsdVNatmtGuvRpTXqGv4mcuXNw9PxBWjdqx7UrN6hXowlbdq2nzM8a7dhM8hSqf9/eH7zNtqcQaoFAIJmd23fTp8cAfH2/4eTkhMe0CXTs0s7oMVpTC3RISAg7t+1m0fxl3LtzP+L3xUsVo13n1lSvXdWsGdsypTz6i/TA1sr8XcTcEyVkx6GttGvWiVPHTtOkXkt2HdhK8ZLmaxRiChInTgTA50+fo7nSeAihFggEOuPv78+APkPZtGELAAUK5mfl2iVkypzRqPuYWqB9fHxZtXwtyxat4KP3JwCcnBxp1LwBHbq2I3tO05YXmUqQpexnDvF2dnZi3baVtGnSkZNHT9G0fkuOnN5v8vItU7q/3X/2APj8+atJ1leHEGqBQKATVy5dpX2bLrx+9QZra2sGDe3HsJGDsbOzM+o+phTpt55eLJy7hHWrN0RMo0qWPCkdurajdYcWxDdVCZmZhVkXIp/JlKLt4ODA6s3LaFSzOVcuXqVJvZacunCERD8t09hG/ATxAPD18TXbnkKoBQKBVuRyOdOnzGLyhGnI5XLSpE3NitVLjO7CNKVAP3vynDkz57Nl43ZkMtU+OXJnp3ufLtRtWNvo7u2YKMzaMLVoOzk5sX77KqqWqcXL569o17Izew5tx9Y29kmQ289SKn9/f7PtKeoKBAKBRrzeelGtYm0mjPVALpfTuGlDLl0/Z1SRlilkJhPpB/cf0rZFJwrlKcGGtZuRyWSULFOcrfs2cvryMRo3b2gUkZYp5b/9xGZM9RziJ4jP+u2rcXZx5vzZ/5juMcvoe0TGVP+mXOOohpD8+P7DJOurQwi1QCBQy749ByhaoDT/XbhEnDiuLF+9mNXrl+HmZrzmQ6b6ML139z4tm7SjeIGy7N6xF6VSSdWalTlydj+7j2ynfKWyBie+/S3CrAlTPLfMWTMxc/5UAKZNnsX1qzeMur45cHFRzaEOCgqO5krjIYRaIBD8RnBwMP16DaJZo9b4+n6jQMH8XLx2luYtmxhtD1NZ0Q8fPKJV0/aULFSe/XsOYmVlRe36NTlz9Tjrt6+mQOH8Bq3/t4uzOoz9fBs2q0+DJvVQKBT06NyX0NBQo61tDhwcVB6YyL3dTY0QaoFAEMHTJ88oU7wSy5asBKDvgF6cOHuI9BnSGW0PUwj0i2cv6dC6K8ULlGXf7gNYWVlRt2Ftzt84xcqNS8mRK7vea/+L4qwOYz5/j1kTSJTYncePnjB/zmKjrWsObH8mT8rlcszVgVsItUAgAGDThq2ULFKe+/ce4J7Ind0HtjFpyjijJVqZwop+5/We3t0GUChPCXZs3YVSqaRWvRqcu36S5esX6926Uoizeoz1esRPEJ+xHqMAmDll9m8d4IyJKb4URk6AC2+MY2qEUAsE/ziBgYF07diTTu26ERAQQJlypbl84xyVq1Q02h7G/sD09f3G6OHjyZ+jKGtXrUcul1OpWgVOXT7Kqk3LyJo9i37nNLM4h395McaP2c5spNeoUbMGFCycn4CAQKZMnG6Ek/29CKEWCP5hHj96QuniFVm/dhPW1taMGD2E/Yd3GjS+LzLGFpHg4GDmz15E3myFmTtzAcHBwRQtUYQDJ/ewadc6cuXJKf2MJraezSWu5hZvQ18vKysrRk8aCcD6NZt4/eqNMY5lchQKRcR/m2tamhBqgeAfZevmHZQuVpFHDx6TJGkSDhzdzfBRQ7CxMU4drTGFQqlUsmPbbgrlLsnIoWP55vuNbDmysnHnGvYd30mR4oWkn89E4mwpSze6s5hkfQNfv2Ili1C2QmlkMhnzZi000qlMS3gdPmC0v5XoEEItEPxjBAcH07t7f9q37hzh6r50/SxlyhpnYIKxheHaletULF2dDq264PnGk6TJkjJ36SxOXzlG5eqVJFs1xhbomCTM2jCZJW/ga9l3cC8ANq7bwtcv5mvLqS9hoWEAZu0BL4RaIPiHeP3qDRVKV2Pl8jVYWVkxdMRA9h/eSZIkiY2yvjFFwOvtOzq26UrF0tW5fvUGzi7ODB09kCv3L9C8dRNJ1owx3duxRZi1YeyzG/K6Fi9VjNz5chEcHMy6NRuNdiZTEV6W5eTkaLY9hVALBP8IRw4do0Thsty+dYeECROw+8A2Ro0dbhT3nTE/+IOCgpg6aQYFcxVj+5ZdWFlZ0bxNU67cu8CAYf0kzYI2hTj/TcSE52RlZUX7Lm0BWLdqo9FLnoz9/MJ7xDs5Oxt1XW0IoRYI/nLkcjkTxk6mQZ2mfPvmR6HCBfjv6hkqVa5glPWN9UGoVCrZv/cghfOUYvL4aQQFqRLFTlw8wtwlM0maLInuZzKCQP+t4qwOYzxHQ17vOg1q4eLqwssXr7h88YrBZzElAQEBALi6uphtTyHUAsFfzNevPtSv3YQpk2YA0KVbR46dPkiq1CkNXtuYIvb86Qvq12xCy8bt8HzjSfIUyVi2bhH7ju8kd17dM7kNFWhzi3OYIizaH3NhjOet72vv6upCzbrVAdixdbdBZzA1/n6qYRxx4xqvlW50CKEWCP5Sbt28Q6mi5Tlx7BROTk6sWLOEWfOmGWcIhZGELDAwkPGjJ1M0f2lOnTiDvb09/Yb05uKdc9RrVEfnRDFjCbQxMZYIm1vELeVBqNuwNgD79x78rQQqpuHr+w0At3jmE+rYN2NMIBBEy8b1W+jdvT/BwcGkz5COTdvWkSt3DoPXNeaH+NFDxxnYdxiebzwBqFClPJNnjpfUrtRQcTYW5rR8te1rZ22c2eAyhQxba/3kQaaU6zUqs3S5ksSJG4eP3p+4ef0WBQsX0Gt/U+Pz1QeAhAkTmG1PYVELBH8RYWFhDOw7lM7tuxMcHEzV6pU5d+lkjBLpd17vadmkHY3rtcDzjScpUiZnzZYVbN69TmeRNsSCNob1bCn3dHQY80yGvEb6vDf29vaUrVAagONHT+q9t6n5GiHUCc22pxBqgeAv4ePHT9SsUo/FC5cBMGzkILbv3kT8+PEMXtsYIi2Xy1m6cAWF85Zk/56D2NjY0LNfNy7cOkONOtV0cnPrK9CGxp5jqjBrwxhnNbcbvFzFMgCcOXXOrPtK4fOnzwAkSuxutj2F61sg+Au4ef0WTRu14p3Xe+LEcWXl2qXUqFXN4HWN9UH94P5DencbEDF/uGDh/MxYMFXSVCt9BVpfYosgR0f489DXLa6vG1wfF3jJsiUAuHHtFkFBQTg56V6KZy4+fvwEYLTeA7ogLGqBIJazeeM2KpWrwTuv92TOkomzF0/EGJEOCQlh4tgplC5SketXbxAnbhymzpnEwdN7dRZpfaxofa3n2GY1S8GQ52UuyzptujQkTpqYsLAwbt24Y5Y9pfL+3QcAkhqpH74uCKEWCGIpcrmc4UNG07FtV4KDg6lWowpn/jtOlqz6jXYMx1gZ0FcvX6NkofJM95iFTCajeq2q/HfzNO27tMXaOvqPHnMJtCnEWaaUGe3H2JhTrKW+f1ZWVhQslB+AG9duSt7PHLx/rxLq5CmSm21PIdQCQSzk2zc/GtRpytxZCwAYNLQ/23ZtxM3NsJIRYwh0YGAgwweNonLZmjx98oxESRKxcuNS1m5bSbIUyaI/g5kF2hDMIa6mWD8mewxy588FwN079yx8kj8JDg7m00/XtzF6EeiKiFELBLGMZ0+f07h+C54+eYaTkxNLVsynYeP6Bq9rDJG+eOEy3Tv15tXL1wA0admICVPHED9BfN3OoIdAS8EYwhwTiHwOWyv9Psb1iV0bUralKzl/hkQe3n9k0n304a2nFwAuLi4k0PHftDEQQi0QxCJOnjhN62bt+fbNj5SpUrB150by5stt0JrGsqInjPZg8YJlKJVKkqdIxsyF06hYpbxuZ4ihAh1ThFkb4Wc0RLBNKdZSk8oyZ1OFbp49fYFcLjfbKEldeP1aNTM7ddpUZptFDcL1LRDECpRKJUsWLqdezcZ8++ZH0WKFOXfpZIwQ6WtXrlOyUHkWzV+KUqmkeZumnL9xSieRlurmluLi1jf2bMr4sCkx5MwxyRWeOk0q7O3tCQkJwevtO0sf5zdevXgNQPr0ujflMQZCqAWCGE5YWBj9eg1iQN8hyOVyWrRqxqHjew0uDzFUpENDQxk3ahKVy9bkxfOXJE2WlM171jN3yUzi6hArN7VASyG2irM69H0eUl4zU2aB29jYkDJ1CgDevPY02T768Pz5CwBJ3fOMgXB9CwQxGF/fb7Rq1o7TJ89iZWXF+Mlj6Degl8FuN0M/aB8+eETntt25d/cBAI2a1WfyzAnE06G5ilSB1hV9xNlQZCa0RG0NbAdqqEvcmEh1f6dKnZKXz1/h9dbLhKeSzrOnzwHIlCmjWfe1/DsoEAjU8vLFKxrUacrTJ89wcXFh1bql1Kxd3aA1DRVohULB4vnLGDtyIqGhoSRIGJ8Z86dSq16N6PeOAQJtiDibUpR12U9f4ZYpZTqLtZR4tSkTy5ImV9Uof/jw0STr60uEUGcxr1Cb1PXt4eFBoUKFiBMnDokTJ6Zu3bo8efLElFsKBH8FFy9cpmyJSjx98owUKZNz/Mwhi4v0O6/31K3eiOGDRxMaGkqlahU4d/2UxURaiotbH3ewTBH224+lMeQsUp57TIhXJ06cCIDPHz9b+CS/CAoK4vUrVTKZob0KpGJSoT579iw9evTg8uXLHD9+nLCwMCpXrhwxeFsgEPzJlk3bqVGlLl+/+pC/QD7OXjxBnry5DFrTUJHeu3s/xQuW5ezp8zg7OzFj/hQ27lxLkqTa4+RSksV0jUPrKtD6xJ1jkjBrQ58zmkKsTRWrTvBzMpWPj49J1teHx4+eolQqSZgwQcQXCXNhUtf3kSNHfvv/NWvWkDhxYm7cuEHp0qVNubVAEOtQKpV4TJzGpPFTAahTryYr1izB2dlZ7zUN/SANCAhg6MBRrFu1AYC8+fOwZM18MmTKEP3eEgRaF6RYz1KI6aKsjfCz6+oWl+IGNzZS4tRu8d0A8Pvmb8ojSeLB/YcA5MiZ3aylWWDmGLWfnx8ACRKYb46nQBAbCA0NpUeXvmzasAWAvgN6MWHyGJ1abWrCUJG+c/seHVp14dnT51hZWdFrQA+Gjh6InZ12UYgNAm2oOJvCkjQk3itThBldrKXWVxsTV1cXAH78+GGR/dVx/54qcTJHTt0HyRgLswm1QqGgb9++lChRgpw5c6q9JiQkhJCQkIj/9/ePOd+mBAJT8e2bH80atebcmfPY2NgwZ/502ndqa9CahgiJUqlk6cIVjBo2jtDQUJIlT8qiVfMoWaZE9PsaUaSNLdD6irO5BlJE3UeqcEuxro1pWZsiqczFReVFCgwMMuq6hnD3zn0Ao8x2l4rZhLpHjx7cv3+fCxcuaLzGw8ODcePGmetIAoHF8Xzzlvq1G/Po4RPixHFl/ZbVVKpcwaA1DREWn68+dO/Uh8MHjwJQrWYV5iyZEREz1LhnDBVovRKvzDyDWRPh59BHsI0l1payqu0dHAAIjWS4WRKlUsnd23cByJ3XsCZD+mCWhic9e/bkwIEDnD59mpQpNTcyHzZsGH5+fhE/b9++NcfxBAKLcOvmHcqWrMyjh09IniIZx04fMkikDZ16dem/y5QsXJ7DB4/i4OCAx6yJrN22MkaJtK4JYlKSrcJfN2NNDTM2+pwtNsfdAWxtVbFsmUz6DPI/1jKCtf/mtSe+vt+ws7MjR85sBq8nFZNa1Eqlkl69erF7927OnDlDunTau7k4ODjg8POblEDwN3P0yHFaNW1PQEAAOXJmZ/f+raRImULv9QwRGIVCwZyZC5g4xgO5XE6GTOlZvn4xufKoD1FF7GlmK1oXcdYVYwqyLpa9JdzMuljWMdWqDk/WUiqVZt1XEzeuq0Zu5syVA3t7e7Pvb1Kh7tGjB5s2bWLv3r3EiRMHb29vANzc3HBycjLl1gJBjGXt6g306tYPuVxOuQpl2Lh1rUHjKQ0Rna9fvtKlfU+OHz0JQMOm9Zk+zwPXOK7a99RBpGOaQOv7Ohmlg5mWNaSKuBSXuJQkM0MwdpxaoVAAGJRMaUyu/5yNXaBgPovsb1KhXrx4MQBly5b97ferV6+mbdu2ptxaIIhxKJVKpkyazsRxUwBo1qIJi5bNNegbuiEiffXyNdq26MQ7r/c4OjriMXsiLdo01Vp6Yiwr2lwCrc/rY+5+3/qOrNRVHKMTa0uWbGki3OUd7gK3NNev3gCgYOECFtnf5K5vgUAAMpmMfr0GsWrFWgAGDunH2AkjDarH1FeklUolSxYsZ+TQschkMtJnTMeqTcvIkUt72Ym5rGhzC7QhwqxUKgkLDUMWplrDxtYGewd7vd9XqaKtb8KZun217Wcs97eutdQhwaokMvsYEAoNCwvj1s07ABQuUtAiZ4hZX6MEgr+QoKAg2rToyMH9h7G2tmbmnKl07tZB7/UMsaK/f/9Br6792L1jLwB1GtRizuIZWl3d5rKiDRVoXV8XXYVZoVDw3vMDr56+xvPlW957vsfb6yOfvT/j88UXf19/AgOCIty04VhbW+Ma15V4CdxInCwRyVInI02G1GTMloFsebKSKKm7pHPqKtjaxNpcLnBjEfSzLMvZ2fIh0ru37xEUFET8+PHIlNm8Pb7DEUItEJgQHx9fGtdrzqWLV3BwcGD1+mXUqVdL7/UMEeknj57Sskk7nj55hq2tLeOmjKZT9/YGu7oNtaLNIdDR7aFUKvF88ZZ7N+5z/+ZDHt15zPNHLwgKkF7Hq1Ao8P/mj/83fzxfvoX/fn88RZrkFC5VkJKVS1CsXBEcnRyjPfu/JtY/fraZdnFxsfBJ4OJ/lwEoUqywxWLmQqgFAhPxzusddWo24tGDx7i5xWXb7k2ULFVc7/UMEek9u/bTvVNvAn4EkCx5UlZuXEqhotrdeMYQaUOsaFMLtOfLt1w9e42r569z89ItfD77/nGNvYM9qdKnJHWGVCRPk5xkKZOSKJk78d3j45bADZc4zjg6OWJjY4OVlRVhYWEEB4Xww/8Hvl98+fzhC+/evOf10zc8f/icV09e8+7Ne3a/2cfuDftwdnGmQq2y1G9Tj9wFc2r80qSrdW1IUldMilV/91M1u4rrFsfCJ/kl1MVLFrPYGWLGuyIQ/GU8efyUOjUa8tbTi2TJk7HnwHZyRhMD1obeGcsyGeNHT2buzAUAlCxTnGXrFpMosWb3a2wXaE1rh4WGcePiTc4dvcCFE5fwevX7rGN7B3uy5M5MjvzZyZ4vG5lyZiRV+pTY2ur+MemII3Hc4pAoqTvpMqf94/GA7wHcuXKXy6evcu7weby9PrJ/yyH2bzlEzgI56DSgPSUrFdcq2IaIqSFWdXRxamNmfvv6fgMgXrx4Bq1j6HkUCgUXL1wCoESJogatZQhCqAUCI3P96g3q127C168+ZMqckX2HdpI6TSq919NXpH2++tCuZWfOnDoHQI++XRk5YZhW4TG1SJtKoDWtGxoSyqVTlzm+7xTnjl7gh/+v3tG2drbkKpiDQqULkr9EPrLny4a9g2lrZF3iuFC8YjGKVyxGv4m9uXv1Hvs2HuD47pPcv/GAPs0HkL9YPgZN7keWXOpHKUYn1qacE20ufL6qpmYldLfsXIhHDx/z5ctXnJ2dyW+h0iwQQi0QGJVTJ8/QtEErAgICKFAwP7v2b8XdPaFeaxni6r539z7NG7bF840nzi7OzF0yk7oNa2vfz0CRNpUVLVWgFQoFN/67xaEdRzi5//Rv4pwgUQJKVC5GyUrFKVi6IC6umieThcoN74plb6M5w9nKyoo8RXKTp0huuo/syqbFW9ixcic3L92iZcV2tOndki6DOmJn/6cVa4hYa7OqY4r7+8unrwC4J9It8c5UnD+rSjAoUqyQRRqdhGP5d0Qg+EvYvXMv7Vp1JiwsjHIVyrBlx3pcXbU3DtGEISK9c/seenTqTVBQMGnTp2XdtpVky5FV814x1IqWKtDvPd+zd9NB9m85iLeXd8TvEyVLRIXaZSlXsyw5C+bAJop4GkOQNaFubXXinTBxAnqN6U7jjg2YO3oBp/afYdXstVw5c41pqyeTLGXSP+6JKaJqCj56fwSIdt65qTlzWuWNKlO2lEXP8Xe+ywKBmVmzch29uvdHoVBQr0FtVq5dqnc7XH1FWi6XM2GMB7OnzwOgXKWyLFu7kHjx42ney4RWtDkEWiaTcf7Yf+xYs5vLp69E9G5wjetK+dplqdqwMnmL5vktW9eUwqwL4furE+wkKZIweeUETu0/w5QB03hw6yGtK7dnzoYZ5Mj/Z46DNrHW16qOCXx4r/qilSzZn19QzIVcLuf8WdUQqXLly1jsHCCEWiAwmDmz5jNiyBgA2nVozdyFM/+w2nRFX5H29/9OpzbdOHLoGAA9+3Vj5IRhWs8RnUibwoo2lkD7fv3GrnV72LF6Fx/ff4r4fcFSBajdoialq5XC0enXFyVLi7M6tAl2+VplyZonC0PaDOfZg+d0qdeTuZtnUqD4n3FSY1vWlrbUZTIZH71V76kh/e8NjdPfvH6Lb9/8iBfPjXwF8hq0lqEIoRYI9ESpVDJ+zGSmecwEoN/A3kyYPEb/rlR6ivTLF69oWr8VTx4/xdHRkdmLptOwWX3N+8QwK1qKQL98+oqNi7dwaPuRiO5V8RK6UbNZDeq2qk3KdL8+2PUR52AjCbqjhC9qmgQ7eepkLNm/kCFthnP9/A16N+vP0t0LyJlf93nIxk4sM8eAjg/vvJHL5djb21vU9X3yxGkAypQrpfcXb2MhhFog0AOFQsGgfsNYsmg5AOMmjWbg4L56r6evSJ87c4HWzdrj6/ONpMmSsn77KvIWyKN5HwuItDEE+vaVO6yZt55zR3/Ns8+aJwuNOzakQp1yODj+nF8sQWiNJcq6rK2LcKsTbBdXZ2ZunMrAlkO5du46fZoPZP2xlSRPnfy3e/WxgmOq+/vN6zcApEyVwqJDOU4cOwVAxUrlLXaGcIRQCwQSkclkdOvUm00btmBlZcWc+TPo2KWd/uvpKdKrV6xjYJ+hyGQy8hfMx9ptK0maLInmfUzk6jammzvyWkqlkkunr7By1hpuXb4NqDKlS1ctSbNuTchTJDdWVlaEyuU6CbQphVnK3tGJdqhc/ptYOzg6MGXNJLrV6cnTe88Y2GYoqw8vj/hyEo4msY5J5Vq69Pl+9VIl1OkzaB+LbEp8fb9x5fI1ACoaMCPeWMSMd08giCWEhobSrlUn9uzaj42NDctWLaJp80Z6r6ePSMvlckYOGcui+UsBqN+4LnOWzNA6OtYQkTaHFR1VoC8cv8iy6St5cOshAHb2dlRrXIWWPZqROkNqIHrr2VBhDonmfgc93aHh59Im2FHF2sXVmWlrPWhbqQOP7z1lwcTFDJjYV6/9Yzovn70EIEPG9BY7w8njp1AoFGTLnsWgHgjGQgi1QKAjQUFBNG/chmNHTmBvb8+6TSupVaeGXmvpa0V///6D9i07c+zICQCGjhlE/yF9tHSyMo2r21QCffnMVRZ7LOX+TZVAOzg5UK91HZp3b0riZIkA7QItVZyjE2N97tVVwIPlcklinTRlEkbOHcbAlkPZtHQrlepWJHfBnL/dY+lEMGPw7OlzADJlzqD3GoZ6EA4fVCVlVq5ayaB1jEXsfkcFAjPx48cPGtVrwbkz53FycmLLzvV6x670Fem3nl40rd+S+/ce4ujoyIIVc6jTQPOAj5hsRUdd487Vu8yfsJibl24B4OjsSIO2dWnRozkJEsWP1r2ti0AbIspSiLxPdKIdnXUdVaxLVi5B9cZVObTtCFMGTWPDyTU6xXFjkvs7Op48egZA5qzqO7OZGrlczvGjqi/C1WpUscgZohI73jmBwIL4+flTv1ZjLl+6Spw4ruzct5USejbo11ekb928Q5N6Lfjo/YlESRKxYftq8hfS3NLQFCJtCiv65ZNXzJ+wiLNHzgOqftv129ahVa+WJEycQKtARyfO5hJmXc6gi2DrKtY9x3Tn7OHzPL73lMM7jlKjcTW9z6cpocxSlnlgYBBvXqli1NmyZzH7/gBXLl3j61cf4sePR7HiRSxyhqgIoRYItODj40ud6g25eeMW8eK5sffgDgoWLqDXWvqK9KH9R+jQuguBgUFky5GVTbvWkTK15vpSS4u0LgL95eNXFk9Zxt6N+1EoFNjY2FCjWTU6DmxH4uSJ9RZoqeIcojBMzB2sdXNz6yLY0bnCw0mQKD6te7dg8aRlLJ+xiqoNKv9WPhSb3d+PHzxGqVTinsidxEksU5p1YP8hQOX2ljKQxZTEjFMIBDGQL1++UrNKPe7dvY+7e0L2Hd5Fnry59FpLX5FeunAFQwaMQKlUUrZiGVZtXEqcuOpH/5nT1a2vmzs4KJiNS7awes46AgMCAShTrRTdRnYhbaY0GgXaGOJsqCjrsmZ0wh2dYGsS66hWdaMODdi4cDOeL99y9sh5ytcoK/HkMZMH91S5CYZMmjPExa9UKjmwTyXUNWvr76kwNpYrUhMIYjAfP36iasVa3Lt7n8RJEnPo+F6zirRCoWD4oFEM7j8cpVJJq/Yt2LRrrVlFWqaU6SzSMoVMq0grlUpO7DtFg+JNWThpCYEBgWTPn40l+xYyde1kkqdPqVGgNYl0iFyuVaRDFPLffsyBrvtpO7em5xv59XF2daZemzoAbFu5Q6ezGdI/3lzcu3MfgNx6/q0ZysMHj3jx/CUODg5UqmL5sqxwhEUtEEThwwdvalSuw5PHz0iWPBmHju0hc5ZMeq2lz4djcHAwndp2Z9/uAwCMHD+M3gN76J3ZbSxXt75W9IvHL5k6dCbXL9wAIHHyxHQf2YXK9SsiUyolWdDRWc/6CnKQDm+Tk8RPy/CzaLKyQ+RyvUu8AOq2rsO6eRu5eu46799+IHmqZBGPxVb39+0bdwHIm19z0x5Tsm+P6m+ufMWyxImj/kuxJYh976RAYELev3tPtUp1eP7sBSlTpeDQsb1613PqI9I+Pr40a9CKyxevYm9vz/xls6nfpK7mPfQUaVPFoiPfH/A9gKXTVrB52TbkcjkOjva07NGcVr1a4OjsaDSB1lWcdRFjqffrIt4hCrlksdbFBZ4sVVLyl8jHjQs3Obb7BG17t4r+MBYkumYnoaGhEa7vfBYS6j279gNQp57magpLIFzfAsFP3nm9o2rF2jx/9oLUaVJx9OQBs4q055u3VClbk8sXrxLXLS7b9m/UW6Q1uaLB9CId7uauX6wpGxZvRi6XU7pqSTafX0+nIR2wdrD7Q6Q1ubg1ubd1cTEHyX7/MQW6rq/trJq+hOhSclahdjkATh86G+21psbQ8q/7dx4QGhpKgoQJSJc+rdnP8Ozpc+7fe4CtrS01asWc+DQIi1ogAMDrrRdVK9bm1cvXpEmbmiMn9uvdkUgfkb539z4NazfD+8NHkqdIxpa9GzTOkLakqzs6K/r92w9MGTSdCycuApAybQr6e/SleIWiahPFNImzJqITZksSvr82K1uTda2vG7xk5eJMGzyTBzcf4ufrh1t8N8lrxBSuXVGFRgoWyq/3YBtD2LVjDwBly5cmQYL4Zt9fG0KoBf88kUU6Xfq0HD6+j1SpU+q1lj4iff7sfzRr2Jrv/t/JliMrW/asJ3nK5GqvNbZIG8uKlslkbFm2jUVTlhEcGIydvR2tejandZ9WWNvbGiTQxhDnYLnxnIeONgqtj0cn2FLEWp0LPLL7O3HyxKTNnIbXT99w89JtylW37NxkQ7h2+ToAhYsVssj+O7btBqB+w7oW2V8bQqgF/zRRRfrIiX2kTGU+kd67ez8dW3cjNDSUYiWLsn77KtziqbeKzBGP1seKfvbwOeN6T+Lh7UcA5CuWhyEzBkWUW0XGGAKtizgbU5i1ra1NtINk0sVaH/IWycPrp2+4feXub0IdmxLKlEolVy6qhmAULVbY7Ps/eviYhw8eYWdnR+26Nc2+f3SIGLXgn+Wd1zuqVapjMZFeuWwNbZp1JDQ0lBp1qrNt/8ZYJdJhoWEsmbqcFhXa8vD2I1zjujJs1mAW7p6nttxKV5HWFM/VFgsOllv/9mMuottP25nVPUd1r0d0seocBVQ1x49+flEyJaaaRf3q5Wu8P3hjZ2dHwcL59VrDkPj0ti07AahUpQLx48fTex1TETu+bgkERub9u/dUrVibly9eGSTS+gi0UqlkuscsJo2bCkCbji2ZOmeyxuH00SWNacLYIh35vif3njK653iePVANUChdtSSDpg3ALVF8ZErlb/dJEeioaLOepQhyoEz/jzpn2+jf4/CzaLKwtVnX+hDZ/Z0pZ0YAnj96YbwNjEx0Gd8Xz18GoEChfFqnwJkCpVLJ9q0qoW7UpIFZ99YVIdSCf44PH7ypXrkuL1+8Im26NBw+bj6RVigUDBs4iiULlwMwYFhfhowaqFeNtDHi0ZKt6DAZa+auY9mMlchlcuIldGOARz8q1ilPmOJ3kTKFQOsizoaIsi7raRNubYKtTqzVucClJpalzZgGgG8+fvh+/Ub8hPF0vjem8N9ZVfJhqTIlzb731cvXePXyNS4uLtSoVdXs++uCEGrBP8XHj5+oUbkOz54+J3WaVHonjukj0mFhYfTo3Ietm1SdpCbPnECn7u0176GHSJvSin717DWjuo2LiEWXrVGGwdMG4JogbrQibUqBNrYwR0f4ftEJtiFi/ed6mvuAOzo7kihZIj5/+My7N++MItRSY9uGtu08f+Y/AEqX1U+oDdl/88ZtANSuWxMXFxe91zElQqgF/wyfP3+hRpW6PHn8jJSpUnD4+D69SrD0EemgoCDatejM4YNHsbGxYcHyOTRsVl/9+jEkHh1+n0KhYNvKHcwdt4CQ4FDiuLkycEp/KtevaFKBNpY4B8n1S9pystH+PkQn2JrEWhekWtVJUyTh84fPfHz3kZz5c+i1p6V48ugpH70/4ujoSOGiBc26d0hICDu3q7K9m7ZoZNa9pSCEWvBP4OPjS62q9Xn04PHPtqB7SZsujeR19BHp799/0KxBK86f/Q9HR0dWblxC5erqB9JbQqS1ubo/e39hbO+JXDqliiEWKVuIEXOHES9xgt9EWhc3t6ECHZ046yvIuqynTbS1CbY6sdbXqtZGwiQJAfj62UfvNSzF6eNnAChRqhiOjo5m3fvo4eP4+PiSLHkyypWPuaVtQqgFfz1+fv7Uqd7w14CNY3v06jimb0vQhrWbcePaTVzjuLJh5xpKlFI/y9qYIm0MV/fZI+cZ12cS375+w8HRnp5jutOwfX3JVrQhAm1ucdZlH02iHSiz1VmsjUHkhDK3BHEB8PPxN/o+hhJdItmpE6quauUrltVvfQPc3hvWbQagafNGGpM5YwJCqAV/NT9+/KB+rcbcvHELd/eEHDy6W68BG/qI9KePn6hbvREP7j8iQcL4bN27kbwF1PcwjglJY+H3hQSHMGfsfLauUMXSM+XIyPglo0mRMbVWK1oXN7ehAi1FmPUp09JFUMPPoE6wNYn1H2vokAUe1f2tLU7t4qqKrf74HhDt3jGJgIBALv3M+Db3tKqPHz9x9PBxAFq0amrWvaUihFrw1xIUFESjei24fOkq8eK5se/wLrLnyCZ5HX1E2uvtO2pXbcCL5y9JkjQJOw5uJmv2LOrXN7NIa3N1v3r2mmGdRvH0/jMAmnZpTPeRXcD2z45ZkYnOija1QBurdjrqOlobmshtdBZrXaxqQ9zfTs4ql3FwULBe9+uCKWqoz5++QEhICKnTpCZzVv0m1OnLlk3bkMlkFCpcgGzZ1bfrjSkIoRb8lYSGhtK8cRvOnTlPnDiu7D24Q6950vqI9KuXr6ldtSGebzxJlTolOw9v1ThkwNyZ3dpc3Qe2HsJj0HSCAoOI7x6PUfNHULDs7+0czSnQ2sRZ3RpymQyft+/48toTX693+Hl/4seXrwT5fyckIBC5TPVa2NrZY+/ihEv8+LglTYJ72lQkyZyRxBnSYWNrq3YfjfXRBoi1MWurbexUC8nCzN/w3BDX8/EjJwCoUq2iXv299d1bqVSybvUGAFq3baHXGuZECLXgr0Mmk9GuVSeOHTmBk5MTO/dtpWDhAtLX0UOknz15Tu1qDXj/7gPpM6Zj58GtpEydQv36JhRpKa7uoMBgpg6dwb5Nqlm8BUvlZ+yiUcR1/30wgaEiHVVcpVrPUe/3//SZNzfv4Hn7Hu8ePOLjs5fIQ0PV3qsL9i7OpCuYjyxlSpK9Qhkc47j+sbfakisJYm0qIkQuSrMZS6MtPq1QKDh6UCXUVWtUNteRALhy6SqPHz3F2dmZhk3UV1/EJIRQC/4qFAoF3Tr1Zs+u/djb27N11wZKlFSfvKUNfUT64YNH1KnWkE8fP5MlW2Z2HNxC0mRJ1K9vJJE2NB79+tkbBrcfzvNHL7C2tqbDwLa07deaqKeLLNKmEGhdxFkWGsrr67d5euESLy5f4+trzz+ut3N0JEGaNMRPlZK4yZLi6u6Ok5sb9i4u2NipXLfy0BBCAgIJ+OqD/4cPfHn1mo9PnhAaEMCTs//x5Ox/HJo2h9zVKlOiTTMSRqqz1yTYmsQ6OoxlVSt+vifWRkiIMld/8FvXb/PR+yOuri6UKlPCLHuGs3rlOgDqN6xD3Lhxzbq3PgihFvw1KJVKBvYdyqYNW7CxsWH95lVUqFhO8jr6jqmsU60hX7/4kCN3dnYc2IJ7ooTq1zejSGuLRx/fe5JxvScSGBBEgkQJmLB0DLmK5flNpKVY0dEJNPwp0uoEOvJ9YSEhPP/vCg+On+bphUuEBgRGPGZlbU3izJlJmSc3yXPmIGm2bMRLkRwra+nxaqVCwadnz3hx4SKPjh3n6+vX3Ny9n1v7DlGoYR3Kde+AU5w4v51RF7GOalVHF6vWN04dGqp63+0dpMWRbU3Uu1sXDu0/CkClqhVxcHCQfL++bu9v3/zYuX0PAG3bt9JrDXMjhFrw1zBu9CSWLl6BlZUVy1cvpmbt6pLX0Eekb9+6S93qDfH1+Ube/HnYtn8j8TXMs7WkSEduAzp//EI2LFaVpuQrnpcJS8dodXUb24rWJtBKpZK3d+5za98hHp44Q8iPX5nMLu7uZChRnPTFi5G6QH4cI4unzJoQBSChEsrRVnWxlbU1SbJkIUmWLBRr3xav27e5snYDLy9d4urWXTw6fZ76E0aQrtCvgRG6irUh6Nr4JCggSPV8nE3TJ1tTIpkhMeKDew8BULOO9L9TQ9iycRtBQUFky5GVosWLmHVvfTGpUJ87d47p06dz48YNPnz4wO7du6lbt64ptxT8o8yeOY/pU2YBMGf+DJo0ayh5DX1E+uaN29St3gi/b34ULJyfrfs2EtdNvSstJoj0109fGdJhJDcv3QKgZc/mdB3eCUWkRB5jWtFSBDrQz5/b+w9zY9f+39zacRInJmvFCmQpX45kObJjZW1NsEx1T7CBIeDwdcJxtFVgZWVFqnz5SJUvH2+uXefY1On4vn3Lum79qTqwF0Wa/hrcoEs2t1SrWh8CfpZlucaJOS0wtcWnHz14zItnL3FwcKBKNfXNf0yBUqlk5fI1AHTo2FavBDZLYFKhDggIIE+ePLRv35769WN+wF4QO1m1fA0jh44FYILHWDp2aSd5DX1E+sa1m9St0Rh/P38KFyvElj3riRM3jtprTSXSUuLR928+YGCboXz68BlnV2dGzx9B8aolfjNAtYm0NivaEIH++OwFlzfv4N7h48hCVMlgdk5OZClfjpw1qpMqX15CFLY/z4Aki1kq4cIdbmmnKVSQthvWcnzaDO4fPMThaXMJ/v6DMp3a/PY8fsvmlmhVGyNO7eeranQSN17Mj7cC7NulSlysUKkccSIl7emKvpb8xf8u8/DBI5ycnGjWsolea1gCkwp1tWrVqFatmim3EPzj7Nqxh949BgAwYHBf+g/sLXkNfUW6TvVGfPf/TtESRdi8ex2uGj5wpIq0KTK79246wOSBUwkLDSNNpjRMXTOJ5Ol/H0aiq6tbihWtSaCVSiWvrt7gv7WbeHH5WsRjiTNlIm/9emSrUgmlQ5yfe/+xxO/7hUr/GHO21/6eRxZsO0dHqo0aQfxUKTm/ZBmnF6/EyS0uhRvXk7yvqfD94gtAgkS/whf6JIWZI5FMqVSyZ8c+AOo2qGXy/SKzbMlKABo3bUA8DbPfYyIxKkYdEhJCSEhIxP/7+8e8dniCmMOJ46do37oLSqWSDp3aMm7iKLPsG1mki5Usyqbd63B1Ve9yNJdIa4tHzx49ly3LtwNQplopRi8YgZ3zr57K5rKiwwX6ydnznFu5nvcPHgOq+HDmsmUo0KQxKfLkJkRug6YiI31EWZd1NAl3sMw6wh1erF1blAolF5Yt5/D0eSTJmJ40+fNEPDdtVrWpS7W+eH8BwD2J+gRG0N8K1Sc+rc3tfe/OA148e4mjoyPVa0k35PR9Ht7eH9m7az8Anbp20GsNSxGjhNrDw4Nx48ZZ+hiCWMDVy9do1rA1YWFhNGhUl9nzp+sVb5JqTd+4fou6NRobJNLmikd/8/FjSIcRXDt/HYCOg9rTfkAbZJFqbY1hRUsR6DNL1+D9RNX1zNbBgdy1a1GweVMcE6f8eYbf9zGWMEdH+D7qBDtcrAGKtW+Lj+cbHh45xq6RE+m+fS0OLs5mOaMm5HI5X7y/ApAkeWKd77NUxvee7XsBqFytol5ub31Zs3IdYWFhFC5SkHz51bfyjanEKKEeNmwY/fv3j/h/f39/UqWSPoZQ8Hfz6OFjGtRpSmBgIBUqlWPFmiV6NdSXKtK3bt6h3s+YdNESRTSKdExIGnv55BV9Ww7C65UXzi5OjFk4kmJVSugk0vpa0eoEGuDFleucXLAswoK2c3Ymf8MGFGzWBJu47n88R9BNoIPCpL/nTnbRjK4MtdUq1lZWVlQeMph3d+/j9/49Z5auokr/nqprJMSqjZlQ9un9Z+RyObZ2tiRMrNmijgkoFAp2bdsDQMMm5gsdhIWFsWLZGgC6dO9ktn2NRYwSagcHB73q6QT/Dm89vahToyE+Pr4UKlyATdvWYm9vL3kdqSJ99869iOzuwsUKsXnP+hgr0hdPXWZIhxEEfA8geepkTFvnQeosaSOu09XVra8VHX7dhyfPOD53MS8vqyx6OycnCjRuRKEWzbBy+bN8TZs46yPKuqyjTrg1WdfhYm3v7EylwQPZ0bc/V7bsonDTBsRPnswo59OHd6/fAZA8VTKzTYDS1+196cJl3nm9x80trl7Z3vq6vffu3s+H9x9InCQx9RvW0WsNSxKjhFog0MbXrz7UqdGAd17vyZotMzv3bcXVVbrrTKpIP7j/kDrVGvLN9xuFihRg694NMVakt67cwfRhs1AoFOQtmgePVRNwif8rE1gfkZZqRft//sKpBcu5feAIKJVY29qSr349irZr84cFbQ5x1kb4HpoEW5NYpy9WlDSFCvLm2nUurt1MjWEqT6A2S9nYcerwEZdvnqtK2VJnSG3QeuoSyYw9iGPbpp0A1K5fy6yzpxfNXwpAx85t9fpib2lMKtQ/fvzg+fPnEf//6tUrbt++TYIECUid2rB/VIJ/i4CAABrWacqTx89IkTI5ew/uIGHCBJLXkSrSTx8/o061hvh89SVfgbxs2btBbXa3pUQ6/Hq5XM7MkXMiksZqNK3G0BmDUNr8EllDXd3RWdFhISFc2rCN86s2EBakasCRtVJFSnfvGhGDjlhLg0BHJ85R656lEB5n1rSvrmIdTtG2rXlz7Tq3DxylQq8uOGrIVTA1r5+9ASBdpjQarzFkcIaxCAwMiijLataiseT79X0O16/e4Mrla9jb29Ohs/TSzZiASd+969evU67crxaO4fHnNm3asGbNGlNuLfiLCAsLo3XzDly9cp348eOx9+AOUqZKGf2NUZAq0i+ev6RW1fp8/vSFXHlzsm2/+mYmlqqRDr8+8EcgwzqP4vyx/wDoPrILTbo3RamhiYmhrm51bu6nFy5xeNo8fL1+umFz5aR83z4kyPr7xDJ1Aq1NnA0RZm1rqRNtTWKtbh1HWwWpCxQgQdo0+Lx+w6OTZ8mnpsOWsTuVqePl41cAZMiWPuJ30ZVZGZJIpq/b++DeQ/z4/oM0aVNTrIT5OoItmL8EgIaN65M0qfre+zEdkwp12bJlUcawaS6C2IVSqaRXt34cOXQMJycnduzZrNfsWKki/dbTizrVGuL94SPZcmRl+/7NxIsf7891zSTSmlzdn72/0KdZfx7fe4qDoz1jFo6kZPXSv10rVaR1Eejw6/y8P3J4+jwenz4PqFp8lu3Vg/QVqv6WhS9FoI0pzpqI2tgk6pkiC7Ymq9rKyorsVSpzYelyHp48o1aoTY1SqeT5wxcAZMyW0ahrG9vtvXndVgCat2qCtR792PXB660Xu3729e7Ru6tZ9jQFlveHCARaGD9mMuvXbsLGxoZ1m1bq1ZtXqkh7f/hIrSr1eevpRYZM6dlxcAsJ3f90s1tapF88fkmvpv3x9vImvns8pq+fQua8v77E6FN6pasVrZDLubJlG6cWrSQsKAhrGxsKNG1CgTYdsHf55QKOKtD6inNQiNaHteKkJT81cumVNqKKdfh9mUqX5sLS5by6dpOwkBDsHByMmtEdXZ9vb6+P+Pn4YWtrQ4as6fTex9SNTt689uT8mf+wsrKieaumku/X1+29aMEy5HI5pcuWIm++3HqtERMQQi2IsSxfsoppHjMBmLdwJtVrVpW8hlSR/vrlK3WqNeTVy9ekSZuaXYe2kjhJIqPsaUyRvnHxFv1bDea733dSZ0jF7M0zSJTql1vPECsatIv0x2cv2Dt+akS5VYrcuSk7aAgJ02f4db8OAq1NnA0RZm1rqRNtdWKtqxvcPUN6XBIkIMDHh/cPn5DGhGLgqEa0H91WvQcZs2XAwVH9NxJzxae1ub03rd0CQNnypUmdxjwlt/7+/qxesRaAPv16mGVPUyGEWhAjObDvEP37DAZgxOghtO3QWvIaUkXaz8+fejWb8PjRE5IlT8rOw1tJnjK5+rVN0MxEV5E+se8UI7qOISw0jFyFcjJj/RSc3H4luJnC1R0st0YWFsaFVWs5t3I9CpkMB1dXyvTsTpYadSNGSxoi0MYUZ00Ehegv1upc4FZWViTPlZNnZ8/x/sFjkwq1Oh7ceABAjvw5In5nqfi0JmQyGZvWqtzerdu3NMueAKtWrMXf/ztZs2WmctWKeq0RUxBCLYhxXL18jbYtO6FQKGjbvhXDRg6WvIZUkQ4MDKRJvRbcuXUX90QJ2XloK2nSqq9MsKRIb1mxnenDZqFUKilTvTTjFo/G2v7Xn7GpRNr76Qv2jJkc0VUsY+lSlO4/GNdEv7wNkUVaV4GOTpxDDBiP5eCoIbP8555RBVtXN3jU6xNnzsSzs+f4+PylvkeVTHhp1t1r9wHIVTCHtsu1YuqyrGOHTuD9wRv3RO7UrG2e2Q+hoaEsnKdKIuvdt4fZYuKmQgi1IEbx/NkLGtZtRlBQEFWrV2buwpmSW4NKFenQ0FBaNWnPpf+uENctLtv2byJTFvWJOZYSaaVSySKPpayctQaABu3q0XNCT6xtIguqfiIdXSz64vqNnFq0EoVMhpObGxUH9idtucoR70t0VnRUgdYmzoYIs7a11Im2Ous6qljr4gJP8LPU1MfTy4DTSickOITHd54AkLeI6Vti6pvtvXblBkCVRGauGuZtW3by/t0HkiRNQlM9SsFiGkKoBTGGz5+/UK9WY75+9SF/gXys3bgCW1tp/0SlirRcLqdzux6cOHYKZ2cnNu9eR648OdWvbSGRlsvlTB44jd3rVT2SOw/tSIveLSKEUlMTE0OtaN/3H9g9chKet+8CkLFUScoMGoZLQlWbSmMJtDHFWRMhwTKdxVob6tzfcZMmBcD/0yeDziiV+zceEhYahnsSd1KlU1+uGFVczd3f+/WrN5w+fgaAdh2lh6/0cXsrFArmzJwHqDK9/4Zul0KoBTGCoKAgGtdrzssXr0ibLg079m7Wq+uYFJRKJf17DWb3jr3Y2dmxessKChcrpPZaS4l0aEgoI7qO4eT+01hbWzN42gCqt6gRcY2pXN13Dx/nwOSZhAYEYufsTMX+fclYtZZaK1ofgY5OnEOC1U8R0wUHR/ViFL5nVMGOKtZSrWrnBKp2qAE+3/Q8sX7cvHATgALF80W8L1Kzt43h9tZmTa9bsQGlUkn5imVJn0H/rHQpHDpwhEcPnxA3bhw6xtIGJ1ERQi2wOHK5nA5tukQ0NNm1bytJkug+BSgcqdb0hDEerFm5HisrKxavnk/5SmXVr2tmkY7cyGRg26FcPnMVO3s7xi0eTcnqpSKuM4ZIRxXokIBADk2dzZ0DRwFIkTsXFUeOxS1FCtV9WqxoQwTaEGHWtJY2wdYUv9YHxziqudlhwcHIZTJsJHqBIuNg/ev1jFyapS7j+9r5GwAULl1Q7/10RR/LNigoiA1rNgHQqWt7s+ypVCqZMXX2zz074KamQVFsRAi1wOKMGDqGvbsPYG9vz5adG8iSNbPkNaSK9KJ5S5k5dQ4AM+ZPoY6GAfaWEmn/b/70bjaAu9fu4eTsxNS1k8lbMl/EdaaIR3948oztQ8bg4+mFlbU1xdq3JX+r9lj/FB5NVnR0Am0Ocda2vjrBjirW0VnV2rCN5FqVhYZKFmoniZ/C9jY2/PD/wYMbDwEoUka9Fygquri9jZlEtmvbXnx9vpE6TSqqVJc+gEMfzp45z7WrN3B0dIzVDU6iIoRaYFGWLV7J/DmLAFiyYgElSxWXvIZUkd66aTvDBo0CYMT4obTuoL5kxFIi7fPZh+6N+vD0/jPixovDrE3TyZwv+kYm6kRaF1d3kMyKGzv3cnjGfOShocRJnJjKY8aTIm9e1X06url1EejoxNkUWd4hwWEarWtjYBUpo1gp103cDW2IcvXsdeRyOWkypCZ5avUlhNFZpMZocqLJ7a1UKlmxeBUAHTq3lTzVS9+SrGkeswBo066lXl65mIoQaoHFOHL4OAP6DgFgzPgRNGnWUPIaUkX6xNFTdO/UB4AuPTvSZ2BP9etq6TqmDmOJ9KcPn+havxevn70hQaIEzN02kzSROk5FJ9JS4tHBcmtCg4LYP3EG9w4fByBDyRKUHz4aJzc31X16WNFSBNoUWd7qBFudWEdnVeuKUvFLdK1szFMGdOnkZQBKVPz1xdZU3cX0Ec1L/13h/p0HODk56VU7rQ9XLl3l7Olz2Nra0m9gb7PsaS6EUAsswt0792nTvAMKhYJWbZozaGh/yWtIFekb127Sqmk7ZDIZDZvWZ/zUMWpLv6S2BjWWSL9/+4Gu9Xri9fodSVIkZv6O2SRNmyLiOkNFOqqr+8ubt2wdOJLPL15hZWND6W5dyd20JVZWVkazotUJtKmzvDUJtiGWdeSEsqiZ37KQXy+CrZbyI31HXEaOT9vb2KBQKLhw7CIApSrr5oEyhdtbWxLZ0nnLAWjSvCEJEvw5e1zrunpa01MmzwCgecsmpEotfWhPTEYItcDsfPjgTcO6Tfnx4wely5Zi3qJZJq+Vfv70BQ3rNCMwMIiyFcswd+lMtU0QLCXSb1950aVeT7y9vEmRJjnzd87BPcUv1506kTYkaezxmfPsGjWJ0IBAXBImpOr4SdG6uk0p0KEh+ou3vYMml/efSWNRxVpbYpmuceqQHz8AsHN0NEkiWVTuX3+A7xdfXOO4kL9YPrXXGMvtrY9ovnr5msM/kxG79+oi+X59uHn9FseOnMDa2pqBQ/qZZU9zIoRaYFYCAwNpXK8F77zekzlLJjZtWyu5CYJUkf7o/ZF6NZvg89WXvPnzsHrzcrV7Wkqk3zz3pEu9Hnz68JnUGVKxYNdc4iX+NQREH5HWFI8ODIOzS1dxdvkaAFLmzUOV8ZPV1kbrItLRCbQmcTZEmDWtpU6wdRHryOjj/g765geAk1ucPx6LbsSl1EQygLOHzgFQslIJ7OxVz8PUQzWksHT+CpRKJZWqVCBLNmmJofpa0x6TpgPQpFkjMmRMH83VsY+Y8+4K/noUCgWd23fn5o1bJEyYgJ17txBfzehIbUgV6e/ff9CwTnM833iSLkNaNu1eh6uryx/XWUqkXz17TZe6Pfny8QvpsqRlwY45xHGPF3GdsUQ6vPRq16iJPDlzAYACjRtRtEcfbGxtzSLQxhRndWgS7OjKsQwt1/rx9SsArj+/7JgSpVLJ6QNnAShfs6xO95jT7e3r48vmdaoBHD36mCfr+taN2xw6cETVZ2CY9BBabEAItcBsTBjrwe6d+7Czs2PzjvUmb4AQFhZG66btuXv7Hu6JErJ130YSJXb/4zpLinTnOt35+smHDNnSs2DnHFzi/6r7DBdpQ8uvguXW+Hi9Z3O/YXx+8Qobe3vKDxpCtuqqximGiLShAh2sZ7zaUYuwhobINLrDTcH3j6qOZHF1nLIWXca3pvppexsbHt95wnvPDzg6O1KiQjG191vS7b16+ToCA4PIlTsHZcuXjv4GIzB54jQAGjVpQOYsmcyyp7kRQi0wC5s3bosYWblgyRxKlFT/IaMNKda0UqmkT/cBnDpxBmdnJzbtWke69Gn/XDMGiHTG7BlYsHMOzvF+uU51FWldMrvf3LzDloEjCfrmh4u7OzUmTyFpDlWbVHUirY8VLUWg9RVndWtoEuyoYh3VajZmyda39+8AiJc8mepMepReRY5Pa+P47hMAlKpUAicXJ8Bwt7exrOmgoCBWLFKVZPXu30Ny3ok+XwxuXr8VYU0PHTFQ8v2xBSHUApNz5dJVenRRlUQNGNyXlq2bSV5Dqst7ysTpbFy3BRsbG5ZvWEK+gnkN3s9YIv362Ru61OlhEpGOmjR2+8AR9o2fhkImI0nWrNSYMg3XRKoktXCRNsSK1lWgjSHO6ohOsE1B1F7fvp5vAUiQKoW6y1X3qMn4lhqfVigUHN9zCoDK9dSPbYyut7cprekt67fx+dMXUqdJRb2GdSTfrw8Tx08BVLHpv9WaBiHUAhPz1tOLJg1bERISQq06NRg7YaTkNaSK9MZ1W5gyUVWqMW3uZCpXU/+hJqWhibFE2vPlW7rU68mXT19NKtJBMitOL17BuRXrAMhSvhzlR4zBztExWle3vm7uqAIdnTiHSIxZO2hxZwcHy/4Q6+isamPx5eUrABKp8dgYQlS3943/bvHp/Sdc47pSsqL0xkDGQJM1LZPJWDRnKQA9+3TDzk6ila7HF4Mrl65y9PBxbGxsGDZykOT7YxNCqAUmIyAggMb1W/D502dy5c7JijWLJc+FlSrSp0+epXc3VUJJn0E9jdZ17M/7pYv0uzfv6VK3B5+9P5M+azrm75htEpH+ESxn79gpEU1MirZpTaGOXbGyttbb1a3NitZVoKUKs7b71Ym2OrE2NSE/AvB7/x6AJFGyjdVlfEuJT0fl8LYjAFSqXR4HR1VqujYLWd8kMn1Ec++O/bx+9YaE7glp1a655Pv1YfxYDwBatGr6V2Z6R0YItcAkhGd4371zj0SJE7F99ybJ07CkivSjh49p1bQ9MpmM+o3rMmLcUPXrGtgaVB+R9n73ka71e/Lx/SfSZErD/B36JY5FJ9K+3wLYOmAkr6/fwtrGhnKDhpCjVm3V9Tq6unW1os0l0JrW1EWstSWWGSNO/fHpUwDiJk2Mczw3vdbQJT4dFBDEqX2nAajRpLraa0zdMlSTNa1QKJgzfT4A3Xp1xtnZWdq6enwxOHvmPGdOncXOzo5hIwdLvj+2IYRaYBKmTJrOnl37VRne29ZK7hSkT61047ot+O7/nSLFCzNvmfomKuYU6XC+fPxK13o9effmPSnTpWTBzjnESfjrQ90YIh0st8b/02c29BzEp+cvsXd2ptpED9IUKaK6XotIS7WidRHo6MQ5JFi3Fq0OjppFTJNYa99XvftbX7f4hweqwRgpsqt6sauzmPWJT0d1ex86cJbAgCBSpktJvqJ5APMnkWni8P6jPP45VlKfKVlSUSqVjB05AYD2HduQOk0qk+9paYRQC4zOnl37mDR+KgBzF86kWImiJt0vMDCQZg3b4PnmLekzpmPdtpVqh8Ub2r9bn3nS33z86N6wN54v35I0VVIW7JyDW6JfLRWlirSmzO7Pr96wocdA/Lw/4uLuTu3ps0iUWdVswlQiLUWgdRVmbfepE211Ym0KF7i6edSOtgre37sHQMpcOQzeQ5vbe9/GAwDUblpd7RdQSyWRKZVKZk6ZA0Cnbh2IJ9GroI81ffjgUa5euY6TkxOD/tK66agIoRYYlXt3H9C5fQ9A1T6wTTv1MWJtSLGmFQoFXTv04sa1m8RPEI9Nu9eRIGGCP64zRhmWNtSJ9I/vAfRs3Jfnj17gniQhC3bMIUGyX3XcxhJpr/sP2dh7CEHf/IifOjV1Zs0hbrLkOsejjWFFqxNofcVZEyHBcp3FOjK61FXrY00rFQq8bt8BIHXeXL89pmt8Whe39+tnb7h9+Q7W1tbUbl5T8jnVYaySrOOHT3Dv9n2cXZzp0dv07ULlcjljR00EoFvPziRLltTke8YEhFALjMaXL19p2rAlAQEBlKtQBo9pEySvIdXlPXHsFPb+dLGv2bpSbVKJqWul1Yl0cFAw/VsO4uHtR7glcGP+jtkkTv3rQ8VYIv3iynW29B9BWFAQSbNno9b02TjFi2cykTamQEe9Vxc3dvjaUQVbHze4PkQuzfr84iVBfn7YOTqSPHtW9dcbwe29Z90+AEpWKk7iZKrSOilJZKa0pqdPmg1Ap67tSegurTObPtb01s07eHD/IfHiudF/UB/J98dWhFALjIJMJqN18w68fvWGdOnTsm7TKmwlDiiQKtJbNm5j5tQ5AMxePJ3iJaW52E0l0mFhMoZ2HMn1/27iEseFuVtnkiJj6ohrjCXSj06dY8ewccjDwkhTuBDVJk3F3tlZq0hH5+rW1YqWKtC6JJTpI9yaMIb7O7qBHG+uXQMgTf482NjZGjRjWpPbOzgwmENbDwPQoE09tddIFTyjWdNHTnL75h2cnZ3o1bebpDX1ISQkhInjVJne/Qb1kdx+ODYjhFpgFEYMHcPZ0+dwcXFh684NkkfbSRXpyxev0KvrrzKsJi0aqV/XxLXSUa9VKBSM7zOJc0cv4OBoz4wNU0ifM2PENcYS6TsHj7FnrAdKuZzMZctSccx4bO3tJcejjWFFaxJoY5VjqRNsTW5wc+Foq+DVJdVM6AxFC/32mLHc3vY2NuzfcwT/b99JnjoZxSuovojGFGt62kRVp8GOXduTKLFu7VP13Q9g+ZJVvHntSbLkyejes7Pk+2MzQqgFBrN54zYWzF0MwPLVi8iRM7tJ93vz2pMWjdsRGhpKjTrVGT52iNrrzN3QRKlUMmvUPA5uO4yNjQ2TVownR+FfsUtjifT1nfs4MHkmKJXkrFGdsoOHYx1psIY2kY7O1S3FilYn0OYsxYoq1qZyf6tLJAsJCODtrdsAZNLgydHV7a2pt7dSqWT7ip0ANGxbHxs1Vre+06Z0RZM1ffTgce7cvIuzizN9+vcw6RkA/Pz8I1oQjxg1WHIJWGxHCLXAIG7dvEPPrn0BGDxsAHXq1ZK8hhRr+sePHzRv2Jovn7+QK29OFq6cK2mutCkbmqyZt55NS1WTg0bOHUrhCr8+wCNPwQpHH5G+vHkHR6bPAyBfwwaU7DPgt0YmUuPRuljRxhDokNDo49YO9sYtxYp2PwNqqF9fuYo8LIwEqVKQME0qyW5vXZLI7ly5y9P7z3BwdKBuy9r6HvU3jNHgRKFQMGW8ahBG1x6dcE/056Abbejz5WLmtDl8/epDlqyZaNW2heT7YztCqAV68+XLV5o3bk1wcDCVq1Zk5Bj1DUa0ITXDu0u7Hty/95BESRKxftsqXFz+/GZtzjKs8Gv3bT7A/AmLAOgzvicVGlSKuEbXUZXRifTF9Vs4Nlu1R+GWLSjStSdWVlZmE2kpAq2LMGu7R51omyNhTNss6siJZM/OqkZNZilb8me5lFJ1vx7dyH5d93sS2Zal2wGo3qgq8RKoyp4iu7KNVZKlCU3W9N6d+3lw7xFx48ahV7/u0tbUQ6S93nqxcN4SACZMHis59+Vv4N97xgKjIJfLaduyo6p2OUM6Vq1bptY1pw2pcenJ46dxYN9h7O3tWbtlBSnUDEEwNMNbH5G+cPwiE/qqklxa9mxOg04NI64xlkj/t3Yzx3+GF4q1a0PBDl0li3R08WgpVrQxBVrTOrqItali1doSyWzlQTw/dwGAbBpGOerj9o7Mu9fvOXf4PADNuzSJ7rg6YQxrWiaTMXXCDAB69u0mORdFH8aP8SA4OJgSJYtRvWZVk+8XExFCLdCLcaMncfrkWZydndmyY73kDEypIr175z6me8wCYNaiaRQqWtDg/aKrldZFpB/cfMjgDsORy+VUa1SFTsM7RVxjNJFe90ukC7fvQKEOqj00ibSuSWP6WNFqs72NJM7q1tXmDjcH6uLTry5fJjQwkLhJEpEyVw6tFrOuSWR/WNPLtqFQKChWvigZsqpKDk2RRKZxPQ3W9JYN23nx7CUJ3RPSvXdXaWvqYU3fvnWXTRtU4aTJU8dLHp35tyCEWiCZvbv3M3PaHAAWL58nOXlMqkjfvXOP7h17AdC9TxezZXhrWiP8urevvOjdfADBgcEUKVuIQTMHRXyQSBXpyEQW6UsbtnF8jkqki3ToSJH2HYGYIdLRCbQ88mG0YKPF32xssVbX2ESXZieR3d4Pj6qGneSoXP5nfoRKjNW5vcORYk37+fixf9NBAFr3UD/gwhglWVLXCAoKYvrPTO/+g3oTJ46rpPulolQqGTZ4FEqlkkZNG1CwcAGT7heTEUItkMTTJ8/o0kGV5dmrb3caNq5v0v2+fvlKi0ZtCQwMomzFMoyeNELtdabM8Fa3xjcfP3o37Y/vF18y58rE5FUTsbVT/TnpI9Lqendf2bKTo7MWACpL2hCRji4ebSyB1lWc1d2jTbDNgU7bB/nx/LzK7Z27WiW1l6hze4ejS0nWupW7CA4MJmuuzBQurSr9ignW9Kola3n/7gMpU6WgY9d20tbUw5o+dOAI586cx8HBgfETR0u+/29CCLVAZ378+EHzxq35/v0HJUsVZ8LkMZLXkGJNy2Qy2rTohOebt6RNn5bl6xapjYObMsNbXUOTkOAQ+rcaxJsXniRNmYRZm6Zh9/NTXp1IR0ZXkb6x+wCHp80FoGjb1hQyskjrYkXr6ubWR5zVIQ8KUSvWUa1qYySVacv41haffnz8JPLQUBJnTEfSLJkku73VXxdpjnhAENtXqkqy2vRupVNf7+gwhjX9zfdbxISsYaMG4+joKOl+qYSGhjJiqOrzpWefbv/E4A1tCKEW6IRSqaRnt348eviEpMmSsnbTSsnD4aW6vEcPG8f5MxdwdnFm/fZVxFMTBzd1hnfUaxUKBWN6TuD2lbu4xnVl9ubpxHX/M6FGXa20riJ99/Bx9k+cDkCh5s0o1LGb1sQxqZnd+oi0KQU66prGtqyj6/OtifD4dGS39939+wHIW6ua2mxvQ5LI7G1s2Lx+H34+fqRMl5IKtcoBMcOanjdjId98v5Ete1aatWwsbU09rOlli1fy7OlzEiVOxMAhfSXf/7chhFqgE0sXrWD7lp3Y2tqyftMqkiZNIul+qSK9fctOFs5bCsDCFXPJmj3Ln2taIMN7kcdSju05ga2dLVNWT9S5NaiuIv347AV2j54MSiV5G9SjaPfeBot0dPFoba5uvQQ6JFj74w7arTFTiLXmo+j+Eej/8gneDx9hbWtL7hpVtF6rTxJZSHAIGxduBqBd71Zqy5AsYU17eb5j2cKVAIybNEpydYdUvnz5isdEVZ32mHHDiRs3bjR3/P0IoRZEy7Ur1xk6aCQAEz3GSu6pLZV7d+/Tq2s/APoO7kXNutUl3W8qkd6/5SCrZq8FYOjMQeQunjfiGl1EOjLqRPrl1RtsHzIWpVxOjurVKNV3kElEWl8rWqtARyfO6q6NRrANQV2fb22iHP69QJvb+/buPQBkLVsS1wTxI8TYGElk9jY27Fizly8fv5I0RRJqNlH9m48J1vTksVMICQmhVJkSVK5WUdqaeljTE8d68O2bH7ly56S1HtP3/kaEUAu08uXLV1o2a0dYWBh169eiZx/pzfelWNM+Pr60aNSWoKBgylcux9DRg9SvaWDymDbUifSNi7eY0E9VK92mbysqN/plUWnrOhZZpKOWYUUW6XcPH7Ol/3DkoaFkKluGckNGaO04ZkqR1lmgpYiztvtNKNjq0KUjWVS3t1Xwdx4cOQpAwYZ11N4T7vbW15peO28DAG37tMLO3nBLWIo1rUmk79y6x/bNuwAY7zHG5OVR9+4+YOXyNQBMn+1hcus9tvBnbYgJWLhwIWnTpsXR0ZEiRYpw9epVc2wrMBCFQkGndt3wevuOjJkysHj5fMl/qFI7j3Vu2503rz1JkzY1S1bPNzh5zBgZ3m9feTGo7VBkYTIq1C5Hu0G/Ml6jy/D+dZ1mkf7y5i0bew4iNDCI1AULUGn0eLW9u2OMSIcEGy7S0aBP/Ftdgpm2+HS4ha2Ll/3+wYOEBQbini4N6Qrl1ylRTIo1vW/jAT5/+EziZImo01zVhtcQa1rqhCx1KJVKRg8ZB0DjZg3IXyCvpPv1GfQxuP8wFAoF9RrUplTpEpLu/5sxuVBv3bqV/v37M2bMGG7evEmePHmoUqUKnz59MvXWAgOZOW0Ox46cwNHRkQ1b1kiOFUmNS0+bPJPjR0/i6OjI6i3Lia+m65G5M7x/fA+gb4uBfPPxI1verIyaNzyit7i+DU3CRRrA//MX1ncfQOA3P5JkzUr1ydOwdXCwuEjLg0L+FEtTCbSJRV9Xwt3eUZucKORybmzbAUDhJvV/+7KqLYksnOis6eCgENbOWQ9A+35tcHD885uDMYZvSLWmD+07wsXzl3B0dGT0ePVlkVL30sbunXs5d/YCjo6OTJoyXvL9fzMmF+pZs2bRqVMn2rVrR/bs2VmyZAnOzs6sWrXK1FsLDOD8uf8YP2YyALPmTSNX7hyS7pcq0ieOnmLKRFVrwunzPciVJ+efa5o5w1sulzO80yhePX1NoqTuTFvngbWDylIxpOtYON++BbKx12D8PngTP1Uqas2Yhb2Li1FEOjhYplWkQ0Jkv5LJQuV/iPRvRCfQQYG6/ZgAXduHhlvPUgZxhLu9310+zzcvLxzjuJKnZhWdSrKkWNM7V+9WxaZTJqVuC9XwDUtb0yEhIYwdPhFQtQpNlTqlwWtqIzAwkGGDRwHQb2Av0qRNHc0d/xYmFerQ0FBu3LhBxYq/EhCsra2pWLEily5d+uP6kJAQ/P39f/sRmJ9Pnz7TtmUnFAoFLVo1o42JEzo837ylY9uuKJVK2nZqRVOJ5R+mSh5bMHExF05cxMHRnmnrPHBLpL0MKxxdWoP+CJazddAoPj59jkuCBNSeOQfn+AmMJtIR10TK7I4s0hGPR+fq1iTQ+giwtmslWNXR1VCrSyT7Y40obm9tSWRXN2wCoECD2jhEGq9oDGs64Ecg6+erYtOdB7bH3sH+j+u1WaeGzpvWZE2vWLSa1y9fkyRpYvoO7KXTHtHtpY0ZU2fj9fYdqdOkov+gPpLv/9sxqVB/+fIFuVxOkiS/l/IkSZIEb2/vP6738PDAzc0t4idVqn+7yN0SKBQKOrTpgvcHb7Jlz8Ls+dMkryHFmg4JCaFN8474+nwjX4G8TJw+Tv2aZk4eO7zjKGt/foCOmDOMDLkyRVwjtQwrnHCRDpJZsW/8NF5dvYGdszO1ZszCLUUKnZqZROwnUaSj/g6icXVrsqINtY5NZFmrQ5/66ahJZF8f3uHd3bvY2NlRpFlDbbfqZU1vWrSFb1/9SJMhNTWbSs/0jooxyrE+ffzMzClzABg9foTJW4W+fPGK2TNUzVSmTJ/4z82a1gWzJJPpyrBhw/Dz84v4efv2raWP9M8xY+psTp04g7OzM+s2rcLFxUXS/VJd3iOHjOXm9VvEix+PFRuX4ODwZ3zOXMlj4dc9uvOY8X0nAdCmT0vK1ikXcY0xyrDOLFnN3YNHsbKxodqESSTOklXrFKyIfTR0HDOGSEfZ6M8nYkz3tQnEWpuVHdXtLaV2+vLadQDkrlGZuInc/yjJMsSa9vnsy+bFqoET3YZ1jrZu2nzlWFP57v+dvPnz0LyVtMld+iSQDeo/jNDQUMpXLEvtujUl3f+vYNLyLHd3d2xsbPj48eNvv//48SNJkyb943oHBwe1H9QC8/DfhUtMGKsqQZo5dyrZc2STdL9Ukd65fQ/LFqsaKSxcOVdtm0Cpcek/75eW4e37xZcBbYYSEhxK8YpFaashwzscqWVYdw4c5ezP8pNyAweRtmixP0Q6MppGVZpNpM1oAUtFXXxaF7d3OFHd3lGtab+Xj3lx4T+srK0p0Ub9cIyIffWwplfNWkNgQBDZ8mSlYu3ygPZ509FhDGv6zs27bFqr+vIwbdakiMRJXdC3n/eRQ8ews7Njxuwp/+x0rOgwqUVtb29PgQIFOHnyZMTvFAoFJ0+epFixYqbcWiCRr199aNdKFZdu1qIJraL5YDKU509fRDQ16TOop+RGCsaIS0e9ViaTMaTjSLy9vEmVPiXjFo+OKA8zRhnWm5t32Dt+KgBFWrciZ+26as+iKS5tUpFW5+qOTqSDgzX/GIimzmS69vgOd3tLsZ6jcmnlGgByVCqHe5pURrWmPV++ZffavQD0GdMzWkE0hzWtUCgY2m8ESqWSJs0bUqRYYYP2iI7AwEAG9R8GQO9+PciSNbNJ94vNmLzhSf/+/WnTpg0FCxakcOHCzJkzh4CAANq1kzZ9RWA6lEolXTv25J3XezJlzsicBdNNWi8dFBRE2xYdCfgRQLGSRc3S1ESX5LH54xdx/cINnF2cmLZ2Mg6uqliZMcqwfLzes2XgSBQyGVnKl6NwJ1XjGF2TxwwVaa1JY1IEWlcRDg4GIw1uiG7MpS7iHdXtHZ017f/yCU/PnAErK0p3bK11bX2s6cUTlyKXySlRsRiFSxcEzGdNa3J5b9u0g+tXb+Ls4sy4SdKmVeljTU/zmMWb156kTJWCIcMHSL7/X8LkQt2kSRM+f/7M6NGj8fb2Jm/evBw5cuSPBDOB5Vg0fymHDhzB3t6etRtX4uoqLXlEqst7+KDR3Lv7APdECVm2dqHa2Jy5Z0sf23OC9YtU2b0j5w3/rYd3OFIzvMP55hfE5r5DCfrmR9JsWSk/YoykrmPa6qQjzqajSOvt6tbHSjaiWEdFm9tb3yEckflvhSokk6NiWRJnSGdUa/r25bucPnAWa2tr+ozpGe1ZzFGO5ffNj/EjVHkZQ4YPIFnyP0OTxuTJ46fMmalKIJs+y0NyLsy/hllaiPbs2ZOePaP/BykwP7dv3WXksLEAeEybQJ68uSTdL1Wkd+3Yy6rla7GysmLRqvkkVfOBYO649MunrxjXW/Uh1apXC0pWLxXxmKEZ3oGhSnYOH8/nl69xTeROdY/p2Dk6GkWko9ZJm0SkDXVjm1CsQb8ksuisad+n93l29hxW1taU7aLd8yfVmra1smLuaJVA1W1Zm4zZMvz8vf7WtDqkWtNTxs/g86cvZMqcke69uxhlL00olUr69hpEWFgYVapVoladGpLu/xcRvb7/YQICAmjbsiOhoaHUqFWNLt07mnS/Vy9f07tbf0AVly5XsYyk+00Rlw78EcigtsMICgyiQMn8tBssPXksHHVx6VOLlvLswiVsHeyp4TEd10SJ9BbpyBhVpI1pReuLDv2+tYmylCSy6Di3WDW1LXf1SiRKn9ao1vThbUd5dPsxLq7OdBvaCTB+cxOpwnnvzn1WLV0DwPQ5Htjb/1nLrfl80l/3LZu2c+7MeZycnJg1d5pIINMBIdT/MAP7DuXZ0+ckT5HM5H28Q0NDadeyM9/9v1O4WCGGjBqofk0DXN5Sm5oolUom9p8S0XlswtKxEW54YySP3T96kgurNwJQYegIkmTLJlmkIxM1Lq2XSJvDijaQyIlk6uLT2rqRRU0ik2pNe9+8wpur17C2taVs1/Zaz6mLNR1ZpGVBISyepPoS0KF/WxImTvjHfcZobqL5fvUJZEP6DFf1125Yh3IVpH15loqPj2/EJL4hwweQNl0ak+73txCj6qgF5mPn9t2sW7MRKysrVq5dSsKECSTdL9XlPX70ZG7duE28+PFMFpfWhrq49I7Vuziy6xg2NjZMXD4O1wR/9jLXJ3ksWG7Nx2cv2DtOleFduGULslTWPr9YE5qSx/5WkdaEOms6/HfGsqaVCgVnFiwEoFCjOsRPnkyjNa1tQpY6lzfA6tnr+PLxKynTpaR5l6aAdpe3MZubaHJ5b1y7hWtXbuDi6sLkadL6a+tjTY8aNpYvn7+QLXsW+vQX4VBdERb1P8hbTy96d1e5oAcN7U/pMiVNut+JY6eYP3sRAHOXzCRFqhR/XGOuuHTkpiYzRs4BoPuormQr+KuXubq4dDi6JI8F+X9ny4CRhAUHk7ZwIQp37q661kgZ3lHnRmv6nSSR1lWgo65jwhGV5ramX544zKcnT3FwdaF0xzaSJmRF5/L2fv2OzUu2AjBgfG+1rUIjY+xyLHV8+fyVCSNVuRkjRg8heYpkRt8jMv9duMSaVarhI3MXzpLkYv/XEUL9jyGXy+nYtivfvvlRsFB+ho8aLHkNKdb0p4+f6NpB9c25fZe2VK9d1eC9DIlLA/z4HsCQjiMJCw2jVNWSNOz8qzWk1Lh0OBHJY2Gwe9QkfL3e4ZYsGZXGTsTaxsYkIq2td7dRRVpbH+6QYMPFOtL9muqn/7jFyNZ0WHAwZxctAaBU+5a4xI8H6G5NR5xLjTVtZ23NrBHzkIXJKF6hKKWrqpIVLV2ONWbYeHx9vpErdw669JCWnyL1vCEhIfTuruqb0LZ9K0qUFH00pCBc3/8Ys6bP5cL5i7i6urJ6/XLs7KSVdkidL929Ux8+f/pCthxZGesxUv2a5o5L9/PA65UXSVMlZdS84RGxeWPEpS+s3sjT8xexsben2iQPnNzcjForHXE+c4i0rmMtpY6pdJLWy1mXOmlDrem7W9bz4/Nn3JIlpUizhn+4vNU+DR2t6XOHz3P51BXs7O0YNKl/tLkg5kggu3D2P7Zt3IGVlRWzF0xXG4rSfD7pX45mTZ/L40dPSZQ4ERM8xkq+/19HWNT/EDeu3WTiuCkAzJgzhfQZ0km6X2pceunCFRHzpZetW4STk9Ofa5o5Lr17/V6O7TmBja0NE5eOxTHOn6Khb1z61bWbnP7ZErVs/4Fae3gbo1Za2xSsnxf+/v+6irQ550NrsKa1ub2NbU1/9/bmyjrVAJZKfbpi5+BAuDUdTlRrWtdyLHlwKLNHzgOgVY/mpPlZn6+rNW2KBLLg4GAG9hoKQIfObSlUpKBBe0TH40dPmOYxC4DpsyaTQM2ceYF2hEX9jxAQEECHtl2RyWTUb1iHlq2bmXS/+/ceMHq4Kjll3JRRZM2exeh7SK6XfvKK6SNmA9B1WCcy58sa8ZihcenvX76yY/h4lAoFOWtUJ0et2hKfjXq0JY+Fo7UMK5yYKNI6YA5r+uKiechCQkhTIC85KpXTqxwrskhHtqZXzVqLt9dHkqVKSod+qtI/SyeQzZ46jxfPXpI0WRJGTxihdT9d99KEQqGgZ9e+hIaGUqVaJRo2ri/pfoEKIdT/CMMHj44oxZq7cJZJS7GCg4Pp1KY7oaGhVK5ekXad26hf04Qu76jXhgSHMLTTSEKCQihSthCNuv6aeW1wXDpUya6REwn46oN7hvSU6j/45++NG5fWO8PbkiIdtdmJDm5vc1rTb29c58nJU1hZW1NtUG+tfxdRrenoXN5vn75h08/pWIM9BuDkrD2Wb44OZI8fPmH+TFVi57TZk3Fz+7PSQfP5pL/mK5au5tLFK7i6ujJ3wUxRM60nwvX9D3Dk0DFWLFsNwNKVCyW7nqS6vMeNnMTDB49IlNidOYvV/3Gau4/33HELeP7wBfHd4zN6wciIIQjGiEufX71WNVva0ZGqEyYbpfOYLhneRhNpS1nR0SSROURYyqbJ9JaHhXF21nQACjWqS9LMGSWVY0WcU0MHsikDpyOXySlXvQxljJBApg4p1rRcLqdv1wGEhYVRvWZVk4+U9HrrxegRqvnyYyeMJFXqlCbd729GWNR/OV++fKVb594A9OjdlfIVypp0v9Mnz7Jovqqpw5wlM0mU2P2Pa4xdivXbY2pE+sLxi2xZvh2AUfOHEyeh2x/3SXF5/zYR69ZdzixRfQkqO2AQCdKkNVvyWDixRqT1tKYjHotiTRvq8r63dSM+r9/gkiA+5bp3MGoC2Z51+7h37T7OLs4M8lCVQpqrA5kml/fKJWu4ce0WrnFcmTFX2khJfdqE9u4xgO/ff1CkaCE6d+sg6X7B7wih/otRKpX07t6PTx8/kS17FsZLnIgD0qxpHx9fundSfSlo17m12UdXqrvf57MPY3tPAKBJ50YULFso4jEpfbzV1kt//86uERNQKhRkr1qFbNWN27NYl+SxGC3S2np8G8GaNgS/d++4uGoVAJX79cApTpw/rpGSQBZZpP0++7JwgqrUq8eILiRN8ecAosjCZ46aac83b5k0WjVrfvzk0aRImdzoe0Rmy6btHD18HHt7exYtmxcxLlagH0Ko/2I2b9zG3t0HsLW1ZfnqJThKHI4g1eU9qO8w3r/7QPqM6RgzeZT6Nc0Yl1YqlYzvOxmfz75kyJae7iN/DRswNC4dJLPiwKSZ+Hl/JF7KFJQ2Q1w64py6ZHhHxtQirUsdtQZrWl2mty5dyAyxppVKJWdnTkUWEkq6QvnJXb2S0TqQ2VlbM2PILAK+B5Azf3Yad1DV6FuyZlqpVDKgx2ACA4MoXrIo7aIZ26nrXpr4+PETg3/OmR42chBZsxk/kfRfQ8So/1K83noxsO8QQNV1KF/+PCbdb+f2PezYugsbGxsWrZyHi8ufH8yWKMU6d/QCdvZ2jF00Ciu7P/+56xuXvnvwKA+OncLKxobKo8dh7+Ji2bh0ZCJb0zqKtFKpQOH7GkK/g30crOOnxcrKgO/xOlrTEb/SIYHMUCI6kB0/xOsrV7Gxt6fmiAE/XcBKrffq6vI+feAMZw+fx8bWhlFzhkdrSZrD5b1p3VbOnDyHo6Mj8xfPjsjP0AV9XN79ew/Cx8eXPHlz029gb0n3C9QjhPovRKlU0rVTL/z8/ClUuAD9B/WRvIYUa9r7w0cG9FZ9Keg3pDcFCueXvF+055Ho8vZ6/Y6ZI+cCqlKsNFl/1YzrU4oVLtIA3957c2jaHABKdGxP0hw5/1gnxsSldUD+6QFhTw5AiP+vXzrExS5LTWwS59B8o65EtqZ1dHmrw1BrGiDQ14dTc1R1zWU6tSFh6lTRWtO61kwH+f1g+hBV+V/7Pm3IlD0joNmaNofL+73Xe0YPUSV0jRgzhIyZMxh9j8js2rGHPbv2Y2try+Ll8yU3VBKoR7i+/0JWLF3N6ZNnVY1GVi2S1HUIpIm0Uqmkd7f++Pr4kjtfLvoPVf+lwJwub7lczuie4wkKDCJfsTw069Yk4nF9Xd7hBIbBnrEehPwIIHmunORtrio9i2pN64u549LyTw8Iu7vpd5EGCPEn7O4m5J8eaD+wOre3xBCLlHIsQxPIzs+ZSZCfH0kyZ6RE62ZGrZmeNWIuvl98SZ8lHR36twVigMu71xD8/fwpUCg/Pfp0lbS/1PN++vSZ/r1VIaCBQ/pKnm0v0IwQ6r+Mly9eMWLoGADGTxpN5iyZJN0vNS69Ye1mjh4+joODAwtXzFX7DdrcLu9NS7Zw+/IdnF2cGDVvODKlyq1pjFKsq1t28vr6LeycnKg4cgzWtraxNi6tVCpUlrQWwp4cRKmMfjhFBNrqpi2cQPb8zGmenDiJlY0NdcYMwUZNKCQcqTXTl49f4ujO41hbWzN2/kiDh24Yo03olg3bOHHklCqha/lcSQld+rq8v3z5Ss5cORgyfKCk+wXaEUL9F6FQKOjWqRcBAQGUKl2Cbj07m3Q/r7fvGDZIlTQ2ZNTAmNF97OkrFk5WlYf1mdAL95R/ZtzqW4r15c1bTvwsPSvbuyfxUqb6db8RS7EizqlvXFrtYn8Kt8L39Z+W9B/3+amuU4eewzgskUAW6OvLmRnTACjZpjnJs2Uxqst7ygBVPXarHs3JmV8VLrBkm9D3Xu8ZOWgsAMNGDzZ5QtfO7bvZvXMftra2LF25UEzGMjJCqP8ilixczoXzF3FxcWHJigWSkkZAusu7V9d+fPf/TqEiBejet4va68zt8h7bayKhIaEULV+E2i1+NXQw1OWtkMvZO24KspBQ0hQuRNZaqlaI4da0oWhzeYdjcOexqIR+1/86XVzeGqzpiF+ZyeWtVCo5P2sagb6+JMqQjjKd2xjV5T1j2Gx8PvuQLnNaug7pBFi2TahSqaRv90ERLu/e/bpr3U/XvTTh7f0xwuU9aGg/8ubLLel+QfQIof5LePH8JaNHqHprT5oyjrTp0ki6X6rLe93qjZw6cQZHR0fmLZul1q1mbpf3xsVbuH/jAS5xXBg+azBhCtWHsVFc3lt38fb2PeydnSk3RDVxK7a6vCOw/7N2WO/rYrDL+8mxozw5dRprGxvqjR+OrRZrT6rL+/zBcxzffRIbGxvGLxiNg6P2MZ3myPJev2ojp4+fwcHBgSUr5pt0MpaqV0N/vn71IXeeXAweNkDS/QLdEEL9F6BQKOjeuTdBQUGUKVeaDp3bmnQ/r7fvGDFEFQcfNmYQGTNnNPoeUl3eb557snjKT5f3+J7ES5Lwj2v0zfL2ffeekwuWA1CmVw/iJk326/6Y7vLWgnX8tOAQTa9nBzfVdb/9LhqXdwyqmf7+8SNnZ80AoHSnNkZ1eft/8WXqINXa7fq2Jkf+7IBls7zfvPZk1M8s79Hjh5M5q7QcFalsXL+Fg/sPY2dnx7JVi4TL20QIof4LWLZ4ZYTLe9HSuSZ3effrOYjv/t8pWDg/XXp1Ur+mGV3eCoWC8X0nExIcSuEyhajV/FeHMENd3kEyK/ZPmkFYcDCp8ucja816QCxyeWuxvq2srLHLor3fs12WGr/XU0vN8ragy1shl3Ni4jhCfvwgRc5slGrf0mgubztrayb1nYq/rz9Zc2Wm04D2gGWzvOVyOT079iUwIJDiJYvSrZe0HBWp533r6cWgfqpxmSPGDCVXbiOU8gnUIoQ6lvP61ZsIl/eEyWNM7vLeumk7x46cwN7enrlLY4bLe9faPdy6fBsnZyeGzhwU4fKOjN6NTQ4d5+Xl69jY21Nu8DCsrK1N2tgk4rzqXN4mwCZxDuxyN//TsnZwwy5389/rqA2IS4db05FFOqrL29iNTe5t28jbmzexc3Ki/sSRuDho/riT6vLeuXoPl05ext7BnolLxmFnb2fxXt6L5y7j8n9XcHF1YfGK+SbN8lYoFHTp2BN//+8ULlKQfgN6SbpfIA3R8CQWo1Qq6dmtLwEBAZQsVZxOXdubdL9PHz8xdKAqy3vgiH4mcatJdXl/+vCJeeMXAtB1RGfcUySOeMzQGdOBfv4cnTkfgOId2hEvVWqdn0dUkdZ+rWUHbtgkzoF1omzaO5MZQaQjoy0ubYzGJh8fPeL8YlUopNqgXiRMnQrQ3+UdWaTfvXjL/HGqf3O9R/cgfZZ0f9xnbpf3g3sP8RinymqfMmOi5C/sUlm8YBlnT5/D2dmZ5asXS+7VIJCGeHVjMevWbIxobLLQxC5vgMH9R+Dr40vOPDno2a+b+jXN6PIGmDp0Jj++B5CjQHYatq9H+O6G9vIOlltzYt4SAr/54Z4+HbmbtgJ07+UdFYMTyEyMlZU1NgnSq38wlvXyDg0I4OjYkSjkcrJXLEu+OjWM1ssbmZwxXccTEhRC0bKFadqpEWBZl3dwcDDd2vUiNDSU6jWr0qptc0n7Sz3v40dPfktczZjJtN3OBML1HWv58MGbYYNGAjBy7FCT/7Ec2n+E3Tv2YmNjw5zFMw1ubCIVdS7vM4fOcfrgWWxsbRg2czDqdldnTYejzeX99s59bu5WNQMpO3AINkZsbKIOs5Rj6YMmkY6hcWmlUsm5WVP55vUOt6RJqDVyEE62qoY3xhhfuWTycp7ef0a8BG6Mmz8Ka2tri7u8J42ewqMHj0mU2J15Gua/az6fNJEODQ2lQ5uuBAcHU7FyeZN78QQqhFDHUgb0GYyfnz/5C+SjVx9pdZIgTTz9/b8zsK8qaaR7ny7kyWd4a0BDrGmAwB+BTBs2E4AW3ZuSOkvaiMd0sabDRVodCrmcg1NVPZtz1qhO8jx5tZ5FKjHNmtaIriIdA+LS4Tw8sJ+HR45hZWNDg8mjcYqr+/jKyCKtzuV98+x1Ni3eAsCYuSNIlCzRH2tLcXkbo/vY2VPnWDJfVZGwYMkcEiX+80yakLoXwKTxU7l96w4JEsRnyfL5kr4UCPRHCHUsZO/u/RHjKxctm2fSXt4AE0ZP5p3Xe9KmT8ugkf3Vr2nEBLKoIq3Oml46bQXe7z6SPHUy2v/sqwy610yHo86avrFrP96Pn+EQJw5Fu6mSZGKsNW0qjCTSvy1pwri0s72MLy+ec3a2qlyqfLcOpM6by2ilWN+/+jGu5yQAGrVvQJlqpQHLdh/z+epDz479AGjfqQ1Va1Q2aI/ouHjhMrOmqwbdzFs0i2TJk0Vzh8BYCKGOZXz75kf/Pj8nVQ3sbfKSiOtXb7B8ySoAZsz3wMnJ6Y9rNIm0rkS1pn97TI1IP3v4nE1LtwIwcEo/rB3+tEwMSSA7tWgFACU7d8Q5fnwdn4VuGN2aNoXb24giba64dEhAAIdHDkcWEkrG4kUo0ba5wXHpcGtaoVAwrsdEfL/4kjFbBvqNU315s3T3sX7dBuH9wZvMWTIxado4rfvpupcm/Pz86dC2CwqFgpatm1GvQR1J9wsMQySTxTJGDx+H9wdvMmXOyNAR0hvfS7Gmw8LC6NN9AEqlksYtGlKmfGmD9zLU5a1UKvEYPB25XE7ZGmUoXrEYoT9F2RgJZGeWribIzx/3DOnJVrsBYDxrWtuc6chotKZNjbakMSOJtKni0memTsLX05O4SRJRb8IInH/qoDHi0lsXbeHq2Ws4ODkwZcVEHJ0czRaX1sT6VRs5tP8IdnZ2LF+7GGdn9cl86s8n/WO/X69BeL55S9p0aZgxZ4rk+wWGISzqWMSl/y6zcvkaQOV6cpQ4TlCqy3vx/GXcv/eQ+AniMX7KGPVrmrlm+uD2I9y+fAdHZ0f6TugVIdKR0bdm+vOrN1zbvgeACv36Ym2ikhO9rWlTur1jgEjry62tm3ly8hTWtrY0mjoel/jx/rhG31Ksh9cesGzKSgCGTBlo9lIsddb0k0dPGTlI9fc4ZsIIk/fW3rp5B1s3b8fa2pqVa5YQJ46OrWcFRkNY1LGE0NBQenVXxaNat21B6TIlTbrfW08vPCao6jLHeowmoXsCo+8htWb6x/cA5o1dAEC7fq1JkMw94jF11nQ4uiSQARyfsxilXE7GUiVJkq8wYH5r2qg4OEZvkUsRaJAk0r9vo16kf79GujXtdesm/y1S1TRX6d+DVLlzSIpLayvFCvD1Z1SXscjlcqo1rEKd5qoubobEpY1RitW5dXeCgoIpX7GsyWdMv371hr49Vf27h40cRNHiRSTdLzAOQqhjCXNnLeDRwye4J3Jn0tTxku+Xak0P6T+cwMAgipYoQrNWjdWvacIEst/3Ua23fMYqvnz6Sqr0KWnWtUnE48ZIIHt1/RZPz1/EysaGYnomkOlCdNa00d3eeo6iNIZI65LhbWgf7yOjhqOUy8ldvTKFm9Q3elz684fPpM2YhhEzhmBlZWXRuDTAmKETeHj/EYkSu7Nk5XxJvROkirRMJqN96874+3+naLHCYuCGBRGu71jAyxevmDJJlc06ZfpEEiSQluAkVaSPHDzGwf1HsLW1Zfo8D7UlGOZOIHvz3JPNy1QJZP0m9gbbPz/IdEkgU4dSqeT43MUA5K1bh/hp9OvqZGimd4zBBCL9+/KGx6VlIcEcHjGEQN9vJM2SiZojBv5RL62uj7eucemNczdw+fRVHJwcmLZ6Ms6u2mPA5ohLH9x7mFVL1wCwZMUCkiT9c9a65vNJt8k8Jk7jyuVrxI0bh1XrlonuYxZEvPIxHKVSSd9eAwkODqZchTI0bd7IpPsFBQUxqN9wALr17kzW7NIGzpsigQxg1ui5yMJkFK9YVOcEMnWos6YfnjzD+wePsXNyokDbDqrr9OxApg5tmd6R0Tghy1xEJ9Cgt0gbPXlsmgfejx7jFM+NJjMnEtdVv9GV6uLSt87dYMX01QAMnz6YjNlUzYTMNRVLnTX99o0XfbqqLNpe/bpTsUp5g/aIjvPn/mPqZFWfgnmLZpEmre7tcwXGR1jUMZyd23dz8vhpHBwcmDN/huQGA1Kt6VnT5uL5xpPkKZLRf1hf9WuaOYHs8pkrnD/2Hza2NvQe11NrAllkdCnHkstknP5ZjlWoeTOcE/w5HlMb+tRN/3Z/TGlwEgtEOpybmzby8MhRrGxsaDRlLPEj1fMaWi/t8+ELo7uNR6lUUq9lbWo1VU1is2SL0LCwMLq06Y7fNz8KFMrP6PHDJe0v9bxfv/rQvnVnlEolLVs3o1GTBpLuFxgfYVHHYPz9/RkyUNUmdOCQviZvE/ryxSvmzlQl5kyYNhZXVxej7yHVmpbL5cwaNQ+Ahu3rkzZTGqOWY907fJQvrz1xjBuXXE1aANFb01LQO4nMXGVZmioHzCTSUnC2l/Hqvwv8t1j1b7TqgJ6kL1zAaHFpZZiM4R1G4efjR9bcWRg8RWXBSolLm6JF6OQxU7l25QZx3eKyav1SSTOfpYq0UqmkW6devH/3gUyZMzJz7lRJ9wtMg7CoYzATxnrg/cGbDBnT039QH8n3S7Wmhw0cRUhICGUrlKZWvRpqrzG3Nb1v0wGeP3pB3HhxaD+grc7WdDharekwGWeXrwWgSOuWOLjo9sUkukxv9feYyHKWWKL3230WEunfl5bWeezI2NGgVFKgQW2dk8eiurzViTTAzOFzeHjrEW7x4zJjjQcOjg4Wr5c+dvgEC2ar8icWLptj8qlYSxYu5+D+w9jb27NmwwpcXV1Nup9AN0wm1JMmTaJ48eI4OzsTL148U23z13L3zn2WLFT18J01b5rJa6aPHjrOkUPHsLOzY/LMCWZJIIuuHCsoIIjFHssAaNe/DU5xfwmpMazpu4eO4ev1Huf48cheVxX712RNS8Hsbm8p/zaiE2gziLQ+cemAr185MHgAYYGBpC2Yj+qD+xo1eezQxoPs23AAKysrJi0dT/LUyf+43txxaS/Pd/TooPqC3qV7R2rXrSltTYlfCm7dvMPwIaMBmDx1vMnrswW6YzKhDg0NpVGjRnTrpn4cokAzCoWC/r0HoVAoqN+wDhUrmTZxJCQkhKE/Xeyde3QgU5aMku43VTnWhsWb+fLpK8lTJ6NBu3pqr9XbmpbJOL9qPQCFWrTATk1r1MhEVzet9mwS3N4GJ5JpE+Dwx7QJujqBjiEiHRYczMGhA/H3/kiC1ClpPH0CLo6q91Zd5zGpyWNPbj5ixjDVEJYeI7pSvHxRwLL10qGhoXRq1ZVvvt/IVyAvEzQ0HNJ4Joki7e/vT5sWHQgNDaVm7ep07dFJ0v0C02KyGPW4cares2vWrDHVFn8tmzZs5dLFK7i4uDBl+kTJ9+vTgezli1ckTpqYAUZIIFN/v27lWOH4fvFl7fwNAHQb0fm3cixjWNMPjp/E5+07nNzcyFbn91ah+mARt7c6pLrC1c2RjlJ7bYhI/76sdJFWyOWcGD8a74ePcIrnRot5U0mQ4E93rL7JY98++TC03QhkYTIq1CpHuz6tAcv28QYYN3wi16/exC2eG2s2LsfB4c8hJ5rQJy7du8cAXjx/SarUKVkspmLFOEQyWQzj2zc/Rg4bC8DQkYNIkTKFSff76P2RaR6zABg1YRhx1IwFlIoh5Vjh166cvZbAgECy5slChTrlkSlVbk5dm5tos6aVSiUXVm8EoEDTxthH6ZNsSIMTXd3eFkedQIPRRdrQMqxLC+bw7Ow5bOztaTpzEglTpwIM6zwWOXlsaLsRfP3kQ8ZsGRg3f5TkpiamiEvv3bmfZQtVbUuXrlxg8rj06hVr2b5lJzY2NqzdsEJynwaB6YlRQh0SEkJIyC8XoL+/vwVPYxkmjZ/C50+fyZI1Ez17S2sPCNKt6fGjJxPwI4B8BfLSuHlD9WuaOYHsg5c321fvBKDbiC4RIh0dulrTzy9e5tPzl9g5O0fEpvVBqtvbYJycjdPvW6IVDeYXaYBbWzZxY9t2AOqNG0aafLmNl+GtVDJ14Awe3nxE3HhxmbluKs6uzkZPHtOGOmv6+dPnEfXSfQf2olrNKtLWlPil4O6d+wzsNwyAcZNGUaRYYUn3C8yDpBj10KFDsbKy0vrz+PFjvQ/j4eGBm5tbxE+qVKn0Xis28uD+Q5b+rOmdPnuKpDIMfbh96y4b120BYPLM8ZLaEeqKPs1Nlk9fSVhoGAVK5qdI2UIRvzeGNQ1w8edzzlO3No5x46quNaAkS5vbOzJGEW9NlrAu96lLFoNorejIAzZMLdLhPDl+jAsL5gNQqW83clapoFeGd2Qix6W3L9nGoW1HsLGxYeqqSaRKl/KP642RPCbF5f3jRwDtmnUm4EcAJUsXZ9S4YTrtEd1emvD396dVs3aEhIRQtXpl+vTrKel+gfmQ9M4OGDCAtm3bar0mffr0eh9m2LBh9O/fP+L//f39/xmxViqVDOw3DLlcTu26NalQsZzkNaRY00qlkhGDR6NUKmnQpB4FixRQv6aZrWnPl2/Zv+UQAF2HdVJbjqUOXa1p76fPeXXtJlY2NhRsor6HuTr0dXvrHZ/WNlBDV8s6OlFX0wc8Ole36jbjinRknO1leF69wvGJqn72RZo1pHirphpFOjK6Jo9dPXmZhROWADBgUl+KlFZ9GbRk8phSqWRAj8E8fviEpMmSsGr9UkktO/WJS/fs2pfnz16QMlUKlq1aZJIv6gLjIOndTZQoEYkSJTLVWXBwcJCUNPE3sXf3fs6dOY+joyMe0yZIvl+qy/vgvsNcOHcRR0dHRo5X/83dlOVYmlg+YxVyuZziFYuSq1BOtc1N9M30Bri8aQcAWcqVxd5dVYIT1ZrWBSktRE2CvpY1RCvQYHqRjkxkl7f3wwccHD4UhUxGjsrlqTKgp9YyLKkZ3p5PXjO6yzjVF9Q29WjSQRXusXTy2LKFK9m1bQ+2tras2bhcUh9vfVi6aAU7t6v2W7dxJQkTGn86nsB4mCxG7enpiY+PD56ensjlcm7fvg1AxowZRRF9FIKCgiLqF/sO6Gny5JHQ0FBGD1dZLN36dCZlamkJa6aypt889+TwjqMAdBrcIVprWmqmd4DvN+4dOQGoksg0IaWvtzq3t9Hi07qMqZS6nhqMIdJSSrBAfVza5/Ur9g/sT1hQEOmLFKTe+OE4/9RAXcqwfnsOajK8v3/1Y2DLIQQGBFGwZAEGTxkQI5LHLl24wthhqi/nEzzGUKxEUUn3S93v+tUbDB2kKsec6DFWxKVjASYT6tGjR7N27dqI/8+XLx8Ap0+fpmzZsqbaNlYyb/ZC3rz2JEXK5AwY3Ffy/VKt6dXL1/Hi+UsSJUlE7wE9/m/vrMOiWt4A/NKhiIUt9rW7W2yvXdfu7r7GNa7d7c/u7u7uVtRri4qBBQYoDXt+f6wg4O6yZ1uZ93l4Htk9Z2ZYcN/9Zr75RnWbZoiml89ahUKhoFyNsuQulEvnKmTquLX3EJFhYaTOmZPkuZTFHORsyZJznKVcbJwcjHcohw6CBtWSjvmYISUd8PYNu/v3Jdjfn3R5c9Fs5gQSfzdwTEnrmuGtCIvg73bDeff6Pe5ZMzJ91STs7GzNnjz21uctnVp3IyIigibNGtGjT1d5bepQx7t1iw6Eh4dTv2EdevcTdS5+BYy2KLF69WokSfrpS0g6Nm983jBj6hwAJkwei7OzHlOaWuDvHxB9ZObQkYNI7CJvdsNY0fSr56+jo+lOcUqF6ntCFiiLyFzfsReAwk0a/bRPVE4lMlURttG2ZcUpPGKIe22cHOKNomMmjRlb0oF+fuzu34dvvr64Zc1Mq3nTcHX5edw6S1qhYHyfidy7cZ8kSZMwb9NMXJO5/tS+qZPHQkND6diyK77vfcmXPw/zFs2UtX9ZrqQVCgWd2nXj1cvXZMuelUXLFoj90r8IFrU9KyEyZuQEgoKCKFW6BE2bNZJ9v9xoevb0eXz6+IkcObPTqn0L1W2aIZpeNWcNCoWC0lVKyYqmtTlvOiTSGu/rN/j82gf7RInIVa0qP6cxxWnXzCdO/kSUcDVNhWshdF2i6LiPG1LSwV++sLt/H7689iFp+rS0WTiTFCmTRN+j7zYsgBVTVnBi7yls7WyZuWYK7tmURzbqc2ylIZLHhg8cFV3UZN2WVSTSsta8pr40MWXidI4dOYGjoyMbtqzB1TVJ/DcJLAIhajNy87onG9crtwpNmznJ6J9u3/i8ZdF8Ze3s0RP+kX0QvLGi6fdvPrB/6yEAOgxoa5BoOi6eew4AkKdGdRR2yjdEbaa95a5P64NW0986RtdxBQ3yJa0qaUx5rW6SDgkIYM/Avnx8/hwXt5S0XTSbJKnciK+gCWi/DevA+v2sm68sbjN67j8ULVsEMO+xlQBrlq9j3coNWFlZsXLtErJmyyJrDHI5euQ4k8ZPA2Du/2aSv0Beo/YnMCxC1GZCkiSGDv4HgBatmlG0eBHZbciNpidPmE5ISAglShenRu1qqts0QzS9fuFGIsIjKFymEAVK5JcdTasiZhJZyNdvPDh5FoD8dX8+FUybaW9jrk/HxJBr1arkDNoLOuZzmjK7lf+WJ+nQb9/YO6gfHx49JlHyZLRdPJvkGdLpvFdaVYb3tZNXmD5UWXWv+9Au1PmrFmC6YyvVcfnCVYYPHAXA6PH/ULWGvFr+cvt74f2Sjm2U50t36tKe1m1Vz6QJLBchajOxZ9c+Ll64jJOTE2MnjJR9v1xJP374hPWrNwIwZuI/sqN3Y0XTAV8C2LluDwBt+7bWKZqOL4ns/okzRISGkSJzZtLkzk1oPJ9FTDXt7WBvo/IELX1lra2gQd5UNxhI0oGB7BvUL7p+d9tFs3DLksmgkva685h/uoxBoVBQr2UdugzuCBhe0ppQFU37vPKhY8suRERE0LBJfQYM7iOvTZmSDg4OpuVf7fj8+QtFixVh+uzJsu4XWAZC1GYgLCyMUSOUh5b0G9jL6PW8QXm2tUKhoGad6pQoXVzlNYY+eEObaHrbqp0EBwaTPU82SnmUIFzx8xqkttG0qiQyIHpLVp5aNQj9/pyuB3Dos3/awcFW661bMWUbn7TViTm633gEDaaX9Ju793BM4kLbRbNInSObQQuafHj5jkGthhISFEIpj5L8M3PYT9uw4mKK5LGgoGDaNuuE7wc/8hfIy/+WzjFq8pgkSfTvPZhbnrdJmTIFG7euTrB1Kn51hKjNwNJFK5SnVaVOxYDBfWXfLzea9rx5m727lGftjvh3qOz+VKFPNB1FWGgYW5Ypazm36tUi1puWqmhaFfElkX37+Anv654A5K7+83S/piInpihqoi6qjkl8ItbU9k+PaRB03Oe1SRqL+ZiqimNxp7vjSjptzhwaJa1NQZOYfPsUQP9mg/js95lc+f9g+krV27DMkTzWr9tA7nj+R4qUKdi4fa3Rk8eWL1nF+rWbsLa2ZvWG5WTI+HOZVMGvgRC1ifn8+QtTJym3R43+d7hJir9MGKOc7mrSvCG58+ZSeY0po+moa4/sOobfh4+4pXWjWoMqWhc4UYW6JLIHp84hKRSkyZObpOnSoc692mzLMhbayFpueyof1yOKVl6vu6RDAgLYN7g/b+/dj5Z0utw5DSLpqGg6PDiUgS2H8Nrbh/SZ0jF30ywSuSQyu6QBZk2dy+7te7G1tWXd5pW4ZzJuaeRLFy4zeMAwAMZNGo1H5YpG7U9gXISoTczMaXP49OkzufPmok37VrLvlxtNX7pwmeNHT2Jra8uQkYNk96cKQ0TTkiSxcckWAJp2aoStna3W5UK1SSKL4sHJMwDkrOyhs4z1SSRzcLSJVe9b3fR3lFx1FbY6OUf1GXdM6p7Xdqo75uPxSTr4yxf2DOzLh0ePo9ek5UbSscarQtJhoWEMb/8PD28/ImmKpCzYMge3NCl/uteYklbHgT2HmDJ2OgAz5k6hbPnSsu6X29/bN29p1bwDERERNGpSn/4D5a2DCywPIWoT8vrVaxbOXwLA+IljZG+P0oWJY6cC0LJdM7JkzazyGnNE0zcv3eLRf49xcHKgfpt6OkXT8U17h3z9Fj3tnaNihejnNK1PmyKRTNNadUzhapK2JjHH7CfW9zIFrbxH/Xo0aD4FK6qYyZ4BffB79lyZ3a3FmrTcgiaRkZFM7jeFa2ev4+TsxPxNs8iUXfNeaW2QK2lV0fR/t+/Ss6NSlN16dqZD57ayxiB3zKGhobT8qx3v370nT97cLFo2XxQ1+Q0QojYh4/+dTGhoKOUrlKXmn9Vl3y83mj57+jznzlzA3t6egUP7ye5PFYaIpgG2rlAejlGzSXVckyXRa0uWumnvp5evoYiIJHkmd5K7u/807S3nEA5Do01imTYyVtWuysfNIOmosqBfXr9W7pNePFtjdjfIl7QkScz7Zx4n9pxUFjRZO4W8RfIApt2GpUrS7999oE2TDgQFBeNRpSKTpo9Te7/KNnVIHhvY92+uXrlO0qSubN6+Tpyr8JsgRG0i7t29z4Z1yuImEyb/a/RPuZIkMfl7gYPWHVqSPqPqzHJT7puOutb3rS+nDpwGoEmHRvFuydKWuNPeXhevAJC1TGmTrkHHlXDc6W911+nbp8rHNQga9FuPBvWS/vTCmz39+/L1wweSpktD28VzNO6TBvmSBlg5bSW71uzBysqKCYv+pVSlkoD5t2EFBwfTtmlHfF6/Iccf2Vm9cblRj60EWLZ4JatXrsPa2ppV65eRLbvuRw4LLAshahPx76gJSJJEg0Z1KVZC9dnPmpAbTZ85dY6L5y/j4OBA/yHyD4Q3xL5pdexav5eIiEgKlMhPjnzZjTLtLUkST69cByBLqZIa21clcUNnfGuSNcg/cUudmGP2p+l6OVF0zMe1kfT7B/fZO2gAwf7+pMySibaLZpEklZvBJb110RbWzFkHwIgZQ6neoCpgHEnLSR5TKBT06TKAm9c9SZY8KVt2rSdp0p9rixuS8+cuMmSg8rjasRNHU71GVaP2JzAtQtQm4NKFyxzcfxgbGxvGjJNf3EQXpk2aCSij6bTp06q8xtjRtCrZR0ZGsnu98nCMRu0bqG1b32nvT698CHj3AWtbWzIUKkRUa7run44PR0fbeA/mUCdriF+82hBXzqrajSlo0G2qG1TvkQZ4efUKB0YMIzw4mHR5ctFq/rTvtbsNK+n96/axYNwiAPqO7knjdg0A/SStDrkZ3lPHz2DPjn3Y2dmxfstq2ZGt3Gj65YtXtPqrXfQJXAMGieSx3w0haiMjSRL/jpoAQNv2rfgjZw7ZbciNps+ducCFc5ewt7en32DVx1jK7U/faDpK6pdOXuGdz3uSJEuCR52KBpv2jsuLm7cASJcvL3aOjkQaf0t0LNRmd2uQtc59qRB01BhiomsUDfFndgM8OnaUYxPGoYiIIEuJojSfORHXJD9qkxtK0id2HIsuDdqhfzva91UmaOkraUNsw9qyYRuzpswFYM7/ZlCuQhmV16lDrqQDAwP5q1Er/Pw+UrBQARYtnSeSx35DhKiNzLGjJzh/7iKOjo4MHznEJH1On6x8E2vVvrnRoun4UPfhYtd6ZbnQWk1r4ODoYLBp77jr0y9v3QUgQ8GCKts1RCKZvYOtxoM5NMka0EvY2soZ5EfRcR+PT9KSJOG5eSPnF8wHIG81DxqO/yf6PGkwnKTPHzzL+L6TkSSJZp2b0Puf7oDm6NhU27AunL3IgB7K/+MD/+5H63byamrrcmxlt069+O/OXdxSubFlx3qjH5MrMA9C1EZEkiTGjpoIQJfuHXUqFSo3mr525TpnTp3D1taWPgMNE02rvE6HJLLPfp85d/QCAHVbxj4cQ5+907HbUUr89X/3AEhXIL/JEslUTX9r3IoVQ7aapK1OynH7UTWemNj/tF1L//VoRWQkFxfM5uZWZRZ/yRZNqDGoN84xvGcoSV85fplR3cZG1+8eMmmgytKgxt4rrSqafvLIi3bNOhMeHk6DxvUYNXa42vtVtqnjsZW7duzFzs6OjVvWkNFdVB77XRGiNiJ7du3jludtEidOzOChA0zS54wpcwBo2rIxGTOp/o8rN5o2VBLZ4Z1HiQiPIFfBnGTPky3eaDo+1K1PhwYF4ef9EoC0uXPr1UdcHBxtZSeaabUVSwsZq2s7LvoKGrSTdHhwMMfGjcbr7DkAqg/oSZk2zWMfomEgSd84c50RnUYRGRFJzUbVGTV7ONbW1hYh6Q/vfWnRoA3+X/wpUaoYi1fMx9pa+w+Hukh69869TBynrJEwd8EMypQrJbsNwa+DELWRiIyMZMK4KQD07tedlClTyG5DbjR97+59Dh88ipWVlcHWplVep0MSGcD+Lcozp/9sVlOrfnQ5KQvg/ZOnIEkkdktJohTJ1ZYN1RYHRzu11cniTn+rSyrTNbtb5XjUJJ7FFXTU+KLvc4wrbPlT3aCU9DdfXw4MG8L7hw+xsben4bgR5Kte+afMbtB8ChbEL2nPczcZ2m4E4WHhVKnrwbiFo7GxsZElaVUYQtJBQcG0adKBF94vyZwlE5u2r8XJySnevvXhlucdOrfvAUCvvt1p17GNUfsTmB8haiOxY9tuHtx7SNKkrvTpL1+aujBnhnKNsG7D2mTLkU3lNaaOpqOk/vyJNw9uP8TG1oZqDarEuia+ae/4iLs+/cHrOQBu2WK/BnIyvnWJnKPQlAGui7DjywiPT9CgexQNPyeNfXj8iP1/D+abry/OSV1pPnsS7gXzG0XSty948nfbYYSFhlGxZnkmLR2Pra28QzbAOHulIyMj6dauZ/Q2rB17N5PSLaW8duWWB337jqYNWxAcHEzV6pWZNFVeERXBr4kQtRGIjIxk8gRlsZG+A3rptIdSbjT9wvslO7buVvY5yHTRtLbtHN5+FICSlYqTLGUyWdPe2q5PRxE17Z0iS2Z5N2pJXImrSiqLb7uWvtuxVMk5aiyx+pEZRYP6qW4Ar9OnODZ+LOEhIaTM7E7LuVNJnjG9USR95+ItBrcZRmhIGOWrl2XqionxnoSlCmPslZYkiRGDRnN4/1EcHBzYvGMd2f9Q/eFY7bh0OFu6WaPWvPF5S85cOVizYYVJyhALzI/4LRuBrZt38PjRE5InT0aP3l1N0ufCeUuIjIykYuXyFCxSwCBtahNNa5NEJkkSR3crz4Su1lC7QgyaTsoC1evTUdPin169BiBZRuOeUBQfUTKNb3+13PZUYUhBw8+SlhQKbq5dyYVlywHIVqo4Tab+i5OLi1Ekfeu8J0PaDiM0OJRyVcswfdVk7B3s45W0KQqaAMyfuZCVS1ZjZWXF0tULKVVGc1EdbftTR1SG943rN0mePBnbdm0yehEVgeUgRG1gIiIioo+x7DuwN0mSJJHfhsxo+tOnz6xdtQGA3gN7qm/XyFuy1PHknhcvnr7EwdGeCrXKx3pOzrS3NuvTAF/evAPANV06mSNVT9x1am2i6ih0FbYmMUf1+fM41Qs67vPaTnWHBQZyctJ4Hp8+DUDJFo2pPqAXiRysiVvIBDRLOr6jKgE8z97g73bDCQ0Jo1y1ssxYbVmS3rZpB+NHTQJg8vTxNGhUV+V16tAleWziuCns2LZbmeG9ba0oD5rAEKI2MNu37uLJYy+SJ09G956dTdLnymVrCAoKIm+BPFSsXD7+G+Jg7CSy4/tOAlDKoySJEjvrne0dH199/QBIkjqVUfuJS5Q44xO2ofqJSVxBKx/TL4oG+PLqJQdHDMXv2XOsbW2pM2IQRRrU1jqzG+RJ+vqpqwzrMJKwUOV0t6VF0qdPnKVv14EA9O7fgx595M2Y6SLpTRu2MmWi8sP/vIWzKF+hrOw2BL82QtQGJDIy8kc0PaAXLi4ustuQG02HhoaybNEKAHr266a2KpG5ksgATh1QngldqY78w+vjW5+Om0gWGR5BsH8AAM7Jk8vuLybxJZSpez6+Qii6oErOUWP4+THVggZ5kn527ixHx48lLDCQxClT0Gz6eDIWzGc0SV86coF/uowhIjwCjz8rMmX5BOzs7fSWtDrkSvP2zTu0b945ulTn+MljZN2vi6Qvnr9Mz659ARgwuC9tdTjDXvDrI0RtQHZu383jR09Iliwp3UwUTe/avod3b9+TOk1qGjSpJ/t+uR8M5PLq+WuePnyGja0NZatpV04xvvVpTYR8+xb9b0cdPihpQtU2LU2yjkIXaasTc8x+VY1P3TUxBQ2ap7oVERFcX7mUy2vWApCxUH7+mjoWF7eUGtejQfMeaVAv6TN7T/FvzwlERkZSrX4VJiweq1XimKn2Sj97+pzmDVoT+C2QCpXKs3DZXFl7pXXhqdczmjdpTVhYGPUb1mHcxNFG7U9guQhRGwiFQsG076U7e/frYZK1aUmSWDh/KQCderTH3t5edbsGiKZ1nfY+c1hZDKNw6YIkSeqitra3nG1Z6gqdAIQGBgFg5+SEtY3q6UtNODlAcKj65+XIOor4pKstquQcNSZN18mJogP9/Dg6djSvbt4ElOvR1fr3JLGjDZrWo0F3SR/ZcphJA6YiSRK1/6rFmHn/xLsFS/m9aST9/t0H/qrTEj/fjxQolJ8N21bj4OCg4m71yI2mP336TOP6zfn48RNFihZm+erFRv9gILBchKgNxIF9h7h/7wFJkrjQrWcXk/R56cIVbnvewdHRkXadWpukT7mcP6YsGVquumnW1SLCwgCwsdN+n6yjrUJtmVFVElYnazDG8ZjayVnVteoEDaol/fLqFY6O+5egz5+xd3ai3qi/yVejisqpbtA+sxvUS3rXyl3M/kd5iEWjtg0YMePveCuOKb83jaQD/ANoVr9VdEGT7Xs2kiSJvJkauZIODQ2lRZM2PHnsRUb3DGzbvVHU8E7gCFEbAEmSoqPpbj27kCxZUtlt6DIFvWShcqtMkxaNSJ5C/nqsofZOq7s+6FsQNy/dAqB0Ff1KHGqb8Y0kAWClIvpwto+ILnriZBep9mCOuFG1trKOujYKXaStTswx+43vHm2mueGHoCMjIrixcimX164DSSJV9qz8NW0cKTO767QeDfFLWpIk1s9Zx7JpKwFo3aMFA8b1jbd2t/J700g6ODiY1k06cO/OfVKldmPXga2kTpNabRsq25UpaUmS6NGlL+fPXSRJEhd27NlMGpl9Cn4/hKgNwMkTp7l5wxMnJyd69e1ukj59Xr9h3+4DAHTu0UHtdcZIItN22vvGRU8iwiNI554W92zy9zTLLXQCPwStMHJmOWguLap83lBT3qpnB+QIGlRL2t/Hh6NjR/P2nvIQk6KN61FzUB/sHB20Xo8GeZJWKBQsHreIzUu2AdB9aBe6DO5oUZKOiIiga9ueXDp/GZckLuzYt5ms2bKobUNluzokj40bM4ktm7Zha2vL+i2ryZsvj+w2BL8fQtQGYMbUOQC079QGN5klBHVl9Yq1REZGUrpcKfLml/+f2dhJZACXz1wFoETF4lhZWWm1Pq1PIhmAnaPy/OOIkBBZ98Wd/tYmqlY+rpSCJmHrgjo5R40lJroIWpIkvI7s5/jM2YQHBeGQODH1Rg0hbzWP7wKWL2ltprojwiOYMXgGB7ceBmDIpAG06NoM+Fm65pK0QqGgX/dBHN5/FEdHR7bsXE+BgvnVtqGyXR0kvWblOqZNngkot2FVqeohuw3B74kQtZ5cv3qDs6eVx0r2G9BbpzbkSjMsLIw1K9cD0LFbO/XtGqDAia7T3gDXz98AoFiFonqPQ1scXRIDEBkeTlhwMPYGPCBBU9JYTLHqIm1NYo7qOy5xBQ3qp7nhh6SDPn/m7Iyp0QVM3AsXoNH4kSRNlybe9WjQPWlMERrOqK5juHD0IjY2NoyZ9w91mv0JWI6kJUli5JB/2bphOzY2NqzesIyy5UurbUNluzpI+uiR4/TpqdyfPXTEINp1sMycE4F5EKLWk5nTlYkwzVo0Ndl5sAf2Heb9uw+kSpOK2vVrGaxdQ057f/nkz5N7XgAUKVNY/8FpiUMiZ2wdHYgICSXQ7yP2GdX/TuKuU8cXVYN2SWPxSVcOuggaVEfRAK8unObI5KkEff6MtY0NHj06UbZdC6xtbIw21Q0QHBDI4NZD+e/aXRwc7ZmyfCIVayqL81iKpAGmT5zFsoXKugQLl82lVp0aattQ2a4Okr7leYc2zTsSGRlJi1bNGPXvCNltCH5vhKj14MljL/btUa4TDxjcR6c2dJmCXrl0DQCt2jXHTkZ2sz59yuX2ldsAZMqRieRuyYzeXxRWVla4pknNR++XBLx7R7I4oo6ZUKYN6rZrmTrLO2oscdFW0MH+/lyYN5P7h5WHo7hly0LDcSNIlzunzlPdoJ2kP731o3/zQXg/foGLqwtzNkyncKlCgGVJevG8pUyfqEwKnT57Ms1b/aW2DZXt6iDpF94vaVSvGd++faNS5YosXDpXbdEiQcJFiFoP5s3+H5IkUat2DXLnyWWSPp8+ecbZ0+ewsrKiTQf1VYrMMe0dk1tX7wBQsKRybc/YZUNjkjJTRj56v+SjtzeZihfTeG18UTVo3ltt7CxvVXIGzYKG2GvRL86e4Pj0mQR9/oyVtTVl2jSjUveO2Dk4yJrqBvmSfvHwOQNbDMH3nR+p0rqxYOscsudWnjJlSZJet3IDo4aOBWDk2OF07dlJbRsq29VB0h8/fqJh3aa8f/eevPnysHHrGrW1EAQJGyFqHfnwwZcN6zYDytJ+uqBLZLt2tfLwjcrVPciYyXBT7fqWDIXYYv/vujKLuEDxfHq3K5fUObLx6MwF3j98BGjeJ60KdbKG+IqhGO6/k76CBvj6/j3nZk/H69x5ANyyZqb+mGFkyJ/HYFE0aD5LeliHkQR+DSRrziws2DqHNOmVW41iSjc+Qce9PgpDSXrnlt0M6j0UgL4DezF4aH+1bRgK5ZGVrXj08AnpM6Rj174tuLrKL5IkSBgIUevI0kXLCQ0NpVjxIpQpq98eYW0JDw9n4/cPB206tFR7naZoWp9pb23XpyMjI3lw5yEAeQr/nJEeYuToOv33LS2vb99R+Xzc6W9Ve6rVyV0bYeuCOjFHjeWn6zUIWhERwb1dWzm/dDnhQUFY29pSrkMrKnRqg629vdGjaIDj248xaeBUIsIjKFK6MLPWTSVJUqWILEnSB/cepmenvkiSRKeu7Rk3abTsqWe50XRkZCQd2nTl0sUrJE3qyu7920ifIb2sNgQJCyFqHQgODmbZYmWhhr4DeplsTenooeN8eO+LW6qUVP+zqkn61IUXT18SHBiMk7MTmXK4a7xWTulQbXEvnB8rGxs+v3rFlzdvSKrFcZdyZA2xxaqLtDWJOWb/P92nQdAAfnc9OTZ9Jr5eykS+jAXzUeefwaTOnjVWFA3GkXTcQibVG1Rl7IJRODgqf2BLkvTxIyfp3Lq7Momr9V/MmDvF6JKWJIkBfYawb88BHBwc2LJzA3ny5pbVhiDhIUStA5vWb8HP7yPumTJSv6G8s2ij0CWy3bB2EwB/tWyiUxKZOrSp7S2HR3ceA5A9TzZsdKi3rSuONgpCIq1xcnHBvWA+Xty8zZPTZyjessVP0lWVVKZO1oDGqXNtpKv1z6BCzlFji0lcQX/z/cDlxQuik8WcXJNQtU83CjeojbW1tewoGnSIpCMimTJwGoe2HQGgfd829B7ZQ6eSoGBcSZ87fZ4OzbsQHh5Og8b1WLBkjuxa2rqsS0+eMI0Vy1ZjZWXFyrVLKFdeu4NqBAkbIWqZSJLEwgVLAOjRqyu2tqZ5Cf18/Thy6DgAzduoz0Y11rR3fMQUu9eDpwBkz5vNaP3FR97qlXlx8zZ3DxyiWIvmKiMlbWUN2glbF9SJOWoscYkr6PDgYP7bupEra9cRHhICVlYUaVCHKr27kChZUoNG0aBe0kFfvjKsw0huXb6NjY0Nw6YNoXG7BoD8pDFV94DhJH3p/BVaN25PSEgIf9apyfI1i2T/P9ZF0iuWrmbiuKkAzJo7jQaN5J92J0iYGO04Fm9vbzp16kSWLFlwcnIiW7ZsjBkzhrDvhyb8qpw4fooH9x+ROHFi2nVso1Mbughz2+adREREUKhIQXLlyalTv/qg7fo0wNOHzwDImktZclHbjG9dqpLFFE9M8tesiq2DPb5eXrzyvAVolmKsNlUIMgpHW0X0l1xi3qupDSe7SJURdKx16MhIHh/cy7oWTTm/dBnhISFkLJiPLuuWUG/UkBiS/t6mTWSsWt26THWrk/SbZ6/pXKs7ty7fJrFLIuZtnmWxkr52+TotGrYhKCiYKtU8WL1xmezZKV0kvWfXPvr3GQzAsH8G07WHvKxyQcLGaOHgw4cPUSgULFmyhOzZs3P37l26dOlCYGAgM2bMMFa3RmfhfGU03aZdS5NmaW7eqKyL3Kx1U4O2a4hs77i88HoJQOYcmQzetrY4JXGhYJ2a3Nixl4srVpKx8Dyto2r4IWt1B3eA9uLXarxqPhzEjaAlSeLVhdOcW7SEj97eACRNl4aqfbqRt3plrKys1E5zg4GnugHPszf4p8sYvgV8I517WuZunEm2XFkBy5P0zWueNKuvPFO6okd5kxxXCXDm9Dnat+6CQqGgQ6e2jBwzXHYbgoSNlSR9P27IBEyfPp1Fixbx7Nkzra4PCAjA1dWVtx+9dTrf2dA89XpGwTzFAbh17yrZc+g2tSs3on788AnFC5bF1taWu889SZFS9UlZukx7a7s+HV9EHXVPREQEZTJUJCIikj2e20mdPvVPEbW2db5jHsoR9/SsmGdSB0fGfmOOuvbzm7csaNiayPBwGs2YRvby5ZTPq5i+jq8IiiZh64KmqD2unEEpaJ8r57mwbAXvHyoz6p1ck1C+Y2tKNGv0UzY3qJ/mBv2nuiVJYvfKXcwdvQCFQkGhkgWYuWYqyVIqi9sYa4+0qrZit6P693Trxm0a125OgH8A5SqUYevuDSRKlEhtO3L7VYfnzdvUqlqXr1+/Ua9BHdZvXmXSvA2B5RIQEEDaFJnx9/eP128mXaP29/cneXL1xzGGhoYSGvojhTYgIMAUw9KaJYuWI0kSNWpVM5mkAbZu3gFA5eqV1EraUvjw5gMREZHY2dvhltZN1r0O1jZ6H8oRk2Tp0lKqVVMurN7IsWkzyFCwAI5JkqjM5o6ug61G2HHFKkfcmqSsagwxkRQKXl04zaXVa6MFbefkRKmWTSjbtgWOLok1rkOD/lG08r7YSWMzhs5i30ZlVb66LWrzz4yh2Dsoi3VYmqRv37xDkzotCPAPoHTZkmzZtd4kkn7y2IsGdZry9es3KlQsx6p1S4WkBTphMlF7eXkxf/58jdPekydPZuzYsaYakiwCAwNZv2YjAN16djZZv5IksX3LTgAaNW1gsn5jEjea1sTb1+8BSJ0ulewsWl1xsomMFVVHZX8DVOzSngcnz/Lp5WsOjB1Pw2lTlHWt1Wy9ik/Y0X1qKd/4UCVnANvIYO4fOcrVDRv55P0CUAq6eNMGlG3XgkTfzzw3RBQN2kva3/czwzuM5O6Ne1hbW9P/39606tFCqyMqlY+ZXtKNazfH/4s/JUsXZ9ueTSROnFhtO3L7VYfPax/q/dkYP18/ChUuyOYd63H8frKbQCAX2e+kw4YNw8rKSuPXw++f/KPw8fGhZs2aNG3alC5duqhte/jw4fj7+0d/vXr1Sv5PZCS2bNyGv38A2bJnpVr1Kjq1oUs07XnzNs+feePk5EjNuuoPCNClZKgx1qd93/oCkCp9KoO2G1dI2mLv5EiTyWOwsbfn6fkLnJg1h6jVHk1rzHGTtwxFVLvq2o/48oHrK5eyuH4jDk+czCfvFzgkTkz5Tm3ov38L1fv3iE4UU5csBj9H0ZqmujWtR8eU9KObD+hQrTN3b9zDxdWF+Vtm07pnS63PkTbXdHeUpHfs24KLi/El7ef3kXp/Nubli1dkz5GNXfu3iqpjAr2Q/Vc4aNAg2rdvr/GarFmzRv/7zZs3eHh4UKZMGZYuXarxPgcHB9nJHaZAkiSWfi9w0qlre5NFigA7t+0GoPqf1UiUyFmnNuR8QNBm/7S69WkAv/d+AKRIZdwpemfbiFjr1Jqi6nS5c9Jw7HC2jxiH5/YdKCIiqDZkENa2tvFuu4orU20P9JAjeQfrCF5cv8HtXbt5cuYsiu/r9klSu1GyRROKNqqHY+JE0T9XTDRNc8e9XtcoWpIkDqzfz6x/5hIRHkG2XFmZuXYq7lkzAsZNGlPVXux2VEva8/otmtZtGS3p7Xs3m0TSAQEBNKzzFw8fPCZ9hnTsO7STVKnkLQEJBHGR/Zfo5uaGm5t2f3g+Pj54eHhQtGhRVq1aZVLBGZJrV67z3527ODo60qad+oMwDI0kSezZuQ+A+o11K6xiaj5//AIQnVRkTmLKOl+NKoQFB7N3/HRu797D51evqD12DC7f/5a1rQduqCjb0VbBxxcvuH/4KPcOHSLg7bvo5zIWyk/JZo3IXbkiNna20T9LTOQIGrRPGFPeG+MM6bAIpg+dyYHNhwCoUteDsfNH4ZxY+aHREiV94+pNmtZtydeAr5QqU8JkklbW727NzRuepEyZgr0Hd+CeKaPsdgSCuBhtjdrHx4dKlSqRKVMmZsyYga+vb/RzadKkMVa3RmH50tUANG7akOTJdROQrtPeL1+8wtnZiSo1KuvUr6kJ+PIVABdXF73bcrKNnfkd7/Vxouq4FGlQBydXV3aOnMDLGzdZ2aI1Fbp3pWCD+rGiazBOYRNJkvj04gWPT5/h0clTfHj0OPp5h8SJKVCrKkUb1yPNH9l/3BePoEH7ZDHQPqsb4MPLd4zoNIrHd59gbW1N75HdadenTfQ2N0uU9NVL12hWvzXfvn6jTLlSbN290SSSDg8Pp02Ljpw9cx4Xl8Ts3r+NXLlNX+9A8HtiNFEfO3YMLy8vvLy8yJAh9ilPJtwRpjefP39hx7ZdAHTq0s6kfe/brcyqrVKjMs7OTmqvM9S2LEMQ9C0QgMRJ5GXVakPMCBl+nv7W5p7cHuXptmEZO0dO4M39hxybPpNrmzZTvEVz8tSsiUPUFHOc9WttxR33vtBv33h16zYvrlzl6cVLfHn9Ovo5KxsbspUqRsHaNchVqTx23+thq1qPj0/Qqu7TNYoGuHz0IuP6TOJbwDeSpUzGpKXjKFlBuTVRl6QxVfeBYSV94exFWjZqR1BgEOUrljVZdndkZCSd23fn0IEjODo6sm33JgoXLSS7HYFAHUYTdfv27eNdy/4V2LxhKyEhIeTNl4cSpYqbtO/9ew4CUKf+nybtNyZyMr4BQr6fUOHoZJ4MV1VRdVxZp8zsTqfVC7mxYy+nl67my2sfjk2fyal5C8hapjRZy5QhQ6GCJMuYITp61Ka4SVhwMO+evODDEy/ePXzAm7v38H3ihaT4ca+NnR1Zihchd+UK5PIoH529HTVOVT9PXOQIGuRF0dYKiYUTlrBxkfKUtgLF8zN1xURSp1MmBxoqsxsMK+nTJ87StmkHgoND8KhSkY3b1+DsLC+nQxdJS5JE354D2b51F7a2tmzctobyFcrKbkcg0ISo9a0BSZJYtWItAB06tdX5lCxdpr2fPPLi8aMn2NnZUbWmaaa99TmII4rwMKXY7ey1+9NysLHR6wQtVVG1OlnDj2IoNra2lGjWiEL1anFz9wGub9uNn/dLHp86zeNTpwGwT5SI5JnccU2TBudkyXBInBjr72vGkWFhhAYGEvzFn2++fvi/fcu3GMs7MUmWIT1ZSxQhW+kSZCtVHIcYSYHqstmNLWjl/bG///TWj1Fd/+W/63cBaNmtOf3+7Y3d95/ZUFPdYFhJHz14jI4tuxEaGkr1mlVZt2Wl7K1Qukr670EjWL1yHdbW1qxev4waNavJbkcgiA8hag3cvO7Jvbv3cXR0pHkr9QdhGIOD+w8DULZCaZJo2Nqhy7YsY6KQlPKwtla/VqyJuEVP4q5Tx42OQXtZq7rf3smJUi2aULJ5Y94+eMyjMxd4du0Gb+4/IiwwkHf3H/Du/gOtx++c1JVU2bOSNvcfZMiXh4wF85EkTtavpq1m2ghaVRv6SvrSkQtM7D+FgC9fSZwkMf/OH0nl2pWinzf2erSqNmO3pfrvae/O/XRr14uIiAjq1KvFqg3LsLe3V9uO3H41MW7MpOiSwguXzqNh4/o6tSMQxIcQtQZWr1wHQP2GdUkWY4pSDrqeWHXk0DEAatSurtP95iJq1iFK2OZEk6whdllSKysr0uXJSbo8OfHo0ZHI8Ag+vnzFxxev8H//gaDPXwgNDCIyQvn7tLW3x8HZGaekSXBJmQLXNKlJnjE9zkldVY5FrpzBNIJWhEWwYOxCtq9UFtXJVyQPk5dNIH0m5RneqmRryqQxZVuqJb1lwzb6dh2IQqGgSbNGLF4x3yQHbABMnzKLaZNnAjB73nTatGupUzsCgTYIUashKCiI7VuVb15tO5huSxYoE9guX7wKQPU/q+rcjjGPtVRH1BtleKjhktV0japBcyZ4TOnFbc/GzpZU2bKQKlsWncasTYEWQwoa5Ev61eMXjO4+lqcPlLX32/RqRe9/umNnr/wdmjtpTNmW6t/dyiWrGdr/H+W4O7Ri7v9myC7Pqauk589ZyL+jJgAwcepYcRKWwOgIUath7+4DBAR8JVNmdypULGfSvk+dOENkZCR/5MphlH2Y+mR8xyd/J2fl2mBwULDOfWhT81uurOHnwzvitheTuG1re198yJGzqvYNIWg7a2u2rdjBgrGLCAsNI7lbMsYuGE3ZKqWjr7FkSc+dvoAJoycD0KN3VyZNHye7RoOukl62eCXDhowEYOSYYfQf2EendgQCOQhRq2H9WmVd71ZtmutcqEXXiPbE0ZMAVKnuobl9C1ufBkjkotwOExgQqPU92iSUabunWtOWLW2EHYWuJUs19asKbQUN8qe5le3EfizA7zMT+k3h8skrAJStWpp/540kRaoUgGGnusGwSWOSJDF+1GTmz/wfAEOGD+SfMUNlJ3nqKunVK9ZGnyk96O/+DPtniE7tCARyEaJWgc9rH06fPAtAqzYtTNq3JEmcPH4aAI9qlUzatyFIlkJZECaqQpkqHG1sYh11qSuqomqIf3+1HGHrgiYxgzw5Q/yChvijaHsbG07sPcXUITMI+ByAg6M9/cb0plnnploXMFE+Zh5JR0ZG8ne/4axdsQGA8ZPH0HdgL7XtqG1fR0lvWLeZ3j0GANC7Xw/GThil8y4QgUAuQtQq2LxpO5IkUbZcaTJnyWTSvh8/fMIbn7c4ODhQqmwJk/VriK1ZAClSK2t8+73zi37M3sbmpzOp40PV9LeqqFqTrAGthB0TOfKOT8iqxqMKbQUNukXRwQGBTBg+m6M7jwOQq0BOJiz6l6w5levv2kTRysfMk9kdFhZGjw592LtzP1ZWVsxdOJN2HVurbUeXvjWxZdN2unfujSRJdO3eiSnTJwhJC0yKEHUcJEli84atALQw8ZYsgDOnzgFQskxxnJzUVyOLD3MkkgGkSa8sD/vu+3GX2qLtfmo5sgbthB2rfRnyjQ9NcgbjC9rexobzRy8wZdB0/N5/xMbGhg7929JlUEe1CWOg3VS3unsNLelv3wLp0KILp4+fwc7OjmVrFtGwcT217ejStya2b91J5/bdUSgUdOzcjplzpwpJC0yOEHUc/rtzj/v3HmBvb0/DJg10bkdXUZ45rRR1uUq/ZnWjjFmV5WJfP3+NJElq39S0mf7WJqnsR3s/b7mKSUxpaittucQnZpAnZ9BtmhuUUfTkkfM4tO0IAJlzZGLsglHkL5ov+hpLmOpWtqda0h/9PtGyYVtuXvfEOZEz67esoko1zXkbuvSvjl079tCxbTcUCgVt27di7v9m/rIHCwl+bYSo47B183YAav5ZnaRq9sQaC4VCwYVzlwAoV6GMxmstMZEMIEPmDNja2RIUGMy71+9Jm1H7A1hURdXaToFHoSm6jiKuUHURtzZSjjkmdegjaGXbP2d0n9p/hhnDZvPJ9xPW1ta06tGCHsO6RJd1NfRUt7Jfw0r61YvX/FWvJV6Pn5IseVK279lEsRJFNbalS//q2L1zL+1adSYyMpJWbVrwvyVzhaQFZkOIOgaSJEXvnW7WoonJ+3/44BGfP33G2dmJQkULGqUPYx3GEYWdnS1Zc2bh8d0nPLrzOFrUuqxTayI+WYP2W6zkSFdb4ssaN7SgAb58+MTMYbM5c0g5K5Plj8yMmTeSAsXUR9FgeZJ+cO8hzeq14u2bd2TImJ6d+7aQM/cfGtvSpX917N65l7YtOxEZGUmLVs1YtGyekLTArIi/vhhcuXSVVy9fkzhxYmrU0r1mr67T3hfPXwagWMmisissmQpt3vzyFsoNwN0b9zRep0o2qqSkSl6glJ064SnbV0R/GZuYfWma3lY1Zgdrm+ivWI/b2Kic5o77utkAe1fvoXnZ1pw5dA4bWxs6D+rAplNroyVta2Wrcqpb1Xq0qkM11K1HG1rSl85foW7VRrx9845cuXNy9PQBk0s6KpJu3vIvlqxYILuQikBgaEREHYPt34+zrFPvT70SuXTlyiVlNbKSZUyX7W0IbK1sY2WNFypVkF3r9+J56ZbB+tC0Xq3NHmtNVcjkIkf8mj5IqPsAom0EbW9jw8M7j5g2ZCb3PZX1yPMVzcuo2cPJkSd79HWmjKLVtf2jPfXS27/7IN3b9yY0NJRSZUqwacc6nc5/11XSO7fvpn3rLtGSXrryf0LSAotAiPo7CoWC3Tv3AdC4aQOzjOHKpWsAFC9VzCz9G4ri5ZXjf+D5EP/PAbgmUx4qomr6W1VSmboM8PhkDdoVRTF2hK1JzmAYQX/1/8r8qSvYsXIXCoWCxC6J6DWyB03aN4yWiz6CVnc/GH6qG2D5olWMGDQKSZKoXbcmK9Yt0enDsj7Z3R3bdoue7haRtMCSEFPf37l88Spv37zF1TWJTpmlUeg67e37wZcX3i+xsrKiaPHCOvevzxgMRZr0qcmeJ5syOe7oRZ3aUCUtUC+5KOKbDjcGMae0Na09q5reBu2nuAFsrazYv/kgf5VuxbblO1AoFFRvUJUdFzfTrFMTo0raGFPdCoWCsSMmMHzgSCRJomOXdqzbssqkkt6yaTsd2nSNThwTkhZYGiKi/s7uXXsBqFW7Jg4ODibv/+b1WwDkyJld47GWYLkZ3zGpXLsSXvefcmz3Cf5sVlPjteq2ammKrAGNW7fiClObSFtbtP0gEN+HCm0jaFBG0Xdv3GP2yHncu3EfgMzZMzF06iBKVvyxVKKtoJWPG3+qW9mm6p8pJCSEPl0GsHu78v/eqHEjGPR3P532KetTcaxbp15IkkTb9q1EdrfAIhGiRpntvXf3fgCdiikYAs+btwAoVKSAWfo3NLUa12Dp9BVcOXWVD299SZVWeSazuuxvubIG7YQdhamibF3kDJoF/eHNBxZOWMLh7UcBcE7kTJfBHWnZrVl04RIw/VS3uvZjt6n65/r86TNt/+rE5QtXsLW15X9L5+h85rs+tbt79xigjOQ7txP7pAUWi/irBG7dvM2rl69xdnbWa9pbvzHcAaBA4V9T1HHf5DNld6dwqULKtf81e/RqW53cop9XM6VsKjRNa0dfo2J6G9RPcdvb2BAeHMqSKctpWrpltKTrNv+TXVe20q5P61jVxbTJ6FY+rjqK1mU9Or6kMXWSfv7Mm1qV6nH5whVckriwY99mk0t6ycLl9OreH0mS6Najs5C0wKIRf5nAvr0HAKhWo7LZynb+d+cuAPkL5YvnSvOj7Ztj8y5NAdixejdB34KiH7eXGVVC/LIG7YRpCGL2o42c5QraKlLB9hU7aVKiGatmrSE0OJRCpQqy/tgqxi4YjVualIB6waoTtNypbmMkjV29dI1aFevy9MkzMmRMz9HT+6lUuYLG9tT2o6Ok583+HwP7/Q1An/49mTl3qpC0wKIRU9/A/r2HAKhTr7ZZ+v/yxZ/Xr3wAyJc/j1nGYAwq16mEe9aMvHz2iq3Lt9O+f9vo5+ROgcMPWWtTEzyuQLUtRaqpDa3uiecDhaYpboVCweHtR1k2dQU+L94A4J41I31G96Ry7Uqx1m71XYtW1wYYZ6obYNe2PfTpMoDQ0FAKFi7A1l0bSJM2tcb2dB2HOqZNnsnY0RMBGDx0AP+OHylqdwssngQv6hfeL7l39z42NjbU/LO6WcZw/65yD2yGjOnjTSSzZOLup7axsaHrkE6M7PEva+dtoG6L2qRInSLeduKrAy5H2NH3GDHK1lXO8EPQp/afYdm0FTx7+ByAFKmS02VwRxq2aYCd3Y//purkaoi1aDCOpCVJYtbUuUwZOx2AP+vUZPnaRSRKlEhje7qMQR2SJPHvqAnMmDobgFH/DhfnSQt+GRK8qA8dUB5aULpMSZ2KKxiCB/cfApAzT06z9G9MajauzqalW7nneZ/Zo+YxYenY6Oc0lRWNkpuhhW0ItJmGB+0FvXLmap7c8wLAxdWFtr1b0bJrM5wS/ViGkSNo5eOmi6KV7arP7B7YcwjbNilL8/bu151xk8fotP1JV0krFAr+HjSCRQuWAjBp2jj6DeitU1sCgTkQoj6oFHXN2vpF0/qsTz95pHyTzpkrh15j0Ie40XD049Z2RKioD25rbavVz2xtbc3w6X/TrkYnju8+ScU/K1CtQZXo5+OrAa7VKVtx3vQNKW5tpRyFJjmD8ueNiIjg6M7jrJm7jqcPngGQKLEzLbo1o3WPFiRJ+mNWxdiCBuNNdft+8KPdXx25duUGNjY2zJg7hY5d2mlsT9dxqCMyMpLe3fuzdvUGAObMn0GX7h11aksgMBcJWtRBQUGcO3MBgJq1zDPtDeD15CkA2f/IFu+1lr6HWpXw8xTKRYf+bVk+cxWTB07jj3w5yJTdPfp5bWQNmqPrmMiVq75oI2eAkOBQdmzey8aFm6PXoBO7JKJ5179o1b05rslin9ZmzihaUz8/2lX/c9/77z5tmnTg1cvXuCZ1Zc3G5XhUqaixPV3HoY6wsDA6t+/Ojm27sba2ZvHyBbRq01yntgQCc5KgRX32zAVCQ0PJ6J6BXLnNN+381EsZVWXNnsVsYzA2XQZ34sYFTzwv32Jw66EsO7CIpCmSRj+vzelacoVtLOITcxRRgv74/iM7Vu1ix+rd+H/yByBpcldadmtGs85NcXF1iXWfpUfRyrbVvwaH9h2he4feBAUGkTVbFrbu2kCOnNnVXq+xHx0lHRQUROvmHThy6Bh2dnas2bCc+g3r6tSWQGBuErSojx85AUD1GlXNlvkZERHByxevAMicJZNZxqAr6qa/VUXVdna2TFs5kbY1OvHq2Wv6NRvE/O1zSJL0h6SixKatsME00tZWzBB769m9m/fZtnwHx/ecJCJc+Xqkc09L6x4tqN+ybqw1aDCcoDW1Bcab6pYkiTnT5zNpzFQAKlQqz5pNy3XO/dBV0v7+ATRt0IIL5y/h5OTExm1rqF6jqk5tCQSWQMIW9bGTAFStXtlsY3jj85aIiAjs7OxImz6t2cahCXXr1BrvUSHrFKlSsGDrHDrX7cGjO4/p2aAPszfPiN4XHIWcs6vjSlRfccuRchQx5Rz4LYhju46ze+1eHt5+FP14geL5adW9OR61K2JrG6c4iUxBK58zbBQdX3/KttW/NoGBQfTvPii6HGiX7h2ZPGO8zse16ippX18/GtRuyi3P2yRJ4sKOPVsoU66UTm0JBJZCghX1q5evefLYCxsbGyp66FZwIQp9Esmi9k+nz5Dulyy6oG1SWRRZcmRmya4F9GjcB6/7T+lYoytTVk0gb5HY+8e1ja7jootodSGmnCVJ4s7V/9i/+SAndp8kKDBYeY2DPdXqV6F556Y//XygWaqWFEUr21b/ur568Zq2zTpy9/Y9bG1tmTF3Ch06t1V7fbx96SjpVy9fU+/Pxjx+9ISUbinZc2A7hX7RSn8CQUwSrKhPnjgNQNFihXE1497lNz7KpKJ0GdKZpD87azvC1UTH6jK/dUVde9lzZ2PVwWX0bTEQ7ycv6Fa3F12HdqJlz+Y/RZu6CtsYxK2o5v3kBUd3HOPozuO89vaJftw9a0YatW1A3Ra1SRZjHT4KSxG0pv5it69e0hfOXqRTq2589PtESreUrNu8UucIVldBAzx6+Jh6fzbm9SsfMmRMz75DO/kjp/l2UQgEhiTBivrMqXMAVKqsWyaqoXj75h2AzhWaTIWm6W9NUbU6WWfInJ61R1cyrt9Eju89ycIJSzi+5yQDJ/anUKmfo6CYkjSFtFWVOZUkieePvDl94Awn953G6/7T6OecEzlTpZ4H9VrUoUjpQipzHnQRtPI5y4uiJUli6f9WMGbYOCIjIylYuAAbtq4mo3uGeNvVdTzquHHtJg3r/sXHj5/ImSsHew/uIENG3cYhEFgiCVLUkiRx5rRS1BU9ypt1LO/ffwAgVWo3s47DmKiTdWKXRExdMZF9mw8wc+RcHv/3hO71elG2Wmna9WtD/uL5VApPlUR1lbe6uuNRhASHcuvSLS6dvMKFoxdjRc62tjaUqlSSmo2r4/FnxZ+Sw0CzSMH0go6vzx/tq39dgoKCGdz77+giJs1aNmHuwpk618nXR9Injp+iRZO2BAYGUqRoYXbt30rKlPFXvxMIfiUSpKifej3j3dt32NvbU7JUcbOOxc/XDwC3VJYval2jalAvaysrK+q1qEO5qmVYOHkpezbs48KxS1w4dolcBXNSt2VtqtTziLWVSxXxCVdbQoJDeXj7ITcv3uLmhZvcuXqXsNCw6Oft7O0oWbEEVep6UKlW+Z/2PkdhDkGD8SXt/fwF7Zt35t4dZdndiVPH0r13F513Tegj6e1bd9K5fQ/Cw8PxqFKRTdvW4uLiEv+NAsEvRoIU9fmzyiInxUsU1eu0LEPw6eNnAJKlME/50rjos06tq6wBkrslZ+SsYbTt1ZLV89ZxcPsRHt5+xMPbj5g1Yi4FSuSjRKUSFC5dkFwFcuLo7KjTGGPyLeAbzx958/TBMx7995gHtx7y5J4XkRGxo/NUad0oU7kU5aqXpVTFEjgndlb788WHroKOr31jCxrg2OET9OjQB/8v/rilSsmq9csoX7FsvO3qMyZ1LFqwlCEDhyNJEo2bNmDZqkU4ODjo3J5AYMkkTFGfuwRAuQpl9G5Ln4xvgC9fvgCQNKnqyMwYaEooi4/4tmrpI2sA92zujJ77D31G9eTA1kMc3HaYh/89xvPSbTwv3QaUZUkzZs1ApuzupMuUFrc0brimcCWxS2IcnRywtbNFkiQiIiIJCQoh8Os3/D8F8Mn3E77v/Hj78h0+L97wyfeTyjGkTJWCwqULUaRMYYqXL0qWHJk1RozmFDQYX9KRkZHMmDSbGZOUB1oUK1GUtZtWkF6PBEhDHa7RvWcXps+e/EvumBAItCVBivrypSsAlCpT0swjga8B3wBwSWK4KTu5W6Z+ut/A2d+q2gc09pEsZTJa92xJ654t8XnxhvPHL3L9/A1uX/0Pv/d+vPB6yQuvl3qPxS2NG9lyZyVnvhzkLpiLfEXykDZj2nincvWVs/J58wta2Y96Sfv5fqRHxz6cPn4GgE5d2zN5xnido1d9oujw8HB6d+/P+rWbABgz7h+GDBsojqkU/PYkOFG/e/ee58+8sbKyomSpEuYeDoGBgQAkSqR6OtUS0Teqjr5OC2EDpM+UjmadmtCsUxMAfN/54fXgKS+fveLtq7f4vvPjyyd/Ar8GEhIcEj11bWdni6OzI86JnXFN5krylMlIldaNNBnSkN49HRmzZcQlSWJtf2yt5AzmF7Q2Y1D2o3mq+9rl63Ru3Z03Pm9xcnJk7sKZNGvZNN529RmTOr59+0br5h04duQENjY2zF84i3Yd2+jcnkDwK5HgRH318jUA8uTNbdb901GEhIQA4ORs3rVyuWgja9BuaUBbYUfhliYlbmlSUtrDuDMi2oo5+no9Ba1Nn6aIoiVJYvG8pYwbOYmIiAiy58jGui0ryZM3t1Zt6zMuVbx//4HG9ZrjefMWTk5OrNu0klq1a+jcnkDwq2HUhZ169erh7u6Oo6MjadOmpU2bNrx588aYXcbL1SvXAShRsphZxxFFWJhSdvb29ibtN943fJmSUtuOjDdoWytbg/WrC1H9yxmHrbVt9Jf6a+y0iqLjSxYz1Fq0Jkl/+fyFdn91YvSwcURERNCoaQNOXzpmNkk/eexF5fI18Lx5i5QpU3Do2B4haUGCw6ii9vDwYOvWrTx69IgdO3bw9OlTmjRpYswu4+XGtZuAMuPbEoiMUEaRNrbabS+Kb7rSkMS/xUi7Os5y36h1EaZc4vYhpx9t5Ky8znSCNsRU9/UrN6hcqgaH9h/B3t6eGXOnsHLdElxctF8eUDU2Xbl88QpVKtTE+/kLsmTNzImzhyluIR+wBQJTYtTwZcCAAdH/zpQpE8OGDaNBgwaEh4frXKxfHxQKBZ43bwFQtLhliFqSJACDJ8Tom1CmfT/aHdghZyr8p3vNGGVHj0HOzIABprjBdGvRCoWChXOWMHHMFCIiIsiSNTOrNiyjcJGC8batz7g0sXvnXjq1605ISAhFixVh+55NpPoFag0IBMbAZO+Anz59YsOGDZQpU8YskgbwevKUr1+/4eTkRK7cf+jdniFEGCVoSaHQuy25aLNNS5sMcDmna+kjbFMjeybAwgSt7E+zpH0/+NG7S39OHj0FQMMm9Zm7cKZe+Rv6SFqSJObPWciIoaORJIk/69Rk9fplJEqUSOc2BYJfHaNvPhw6dCiJEiUiRYoUvHz5kj179qi9NjQ0lICAgFhfhuSW5x0A8hfI+9PhD+bC9vuHlogI8x86oQ/aToP/uF676VpTEnNKW2sRfp/e1neKGww/zR2fpE+fOEvFElU5efQUjo6OzPnfDFatX2o2SUdERDCo31CG/z0KSZLo1qMzm7evE5IWJHhki3rYsGFYWVlp/Hr48GH09UOGDMHT05OjR49iY2ND27Zto6d74zJ58mRcXV2jvzJmzKj7T6aC27eUoi5YyHKOvnNwUCaRhYSEmqV/raI3rROr4hfWz/fIE6Mh0UXMyvu0kzMYTtBR49VqfPEIOiwsjH+Hj6dpnRb4vvcld55cnLp4hA6d2+q1BKPv9qvmTdqwZNFyACZOHcvMuVOxMdGxpQKBJSP7f9agQYNo3769xmuyZs0a/e+UKVOSMmVK/vjjD3Lnzk3GjBm5fPkypUuX/um+4cOHM3DgwOjvAwICDCrru//dA6BAwXwGa1NfnJ2V+6eDAoMM3rYh16nlFEGRMxUe+77Yf44GG7uBPgTI+RBiqCluZb+GETSA12MvurXvzR3P/wDo2KUdk6aP06uUrr6v7xufNzSu34I7t//D0dGRFWsW06BRPb3aFAh+J2T/D3Nzc8PNTbekDsX3ddjQUNXRo4ODg1Hr9d797z4AefPlMVofckn8PaP269evZhuDtiVF5coa0EnYP9ow/9S4oeUMhhe0sm/NkpYkibUr1jPq738JDg4heYrkLFg8m9r1amndh75jVMUtzzs0bdiCNz5vcUvlxradG0Rmt0AQB6O9E165coVr165Rrlw5kiVLxtOnTxk1ahTZsmVTGU0bm0+fPvPurfLs5zz5dN8Tamiianz7f/HX+h5bKxsiJPOsacstL2oIYZsSuVP3IC8r3RxR9If3vgzoOZijB48DyqNdl6z8H2nTpdGqD33HqI4D+w7RoU1XAgMDyZ0nJ9t3byZzlkx6tSkQ/I4YLZnM2dmZnTt3UqVKFXLmzEmnTp0oUKAAZ86cMcspNw/vPwIgo3sGizoKL8X3s3M/+qk+IEJftH0z1VYgoNt2KV3Wr02FnDXnWPfJ2H8tZx3akJI+tO8IFYtX4ejB49jb2zNx6lh2H9xmVklLksTc2Qto1rg1gYGBeFSpyPEzh4WkBQI1GC2izp8/PydPnjRW87J59FAp6py59N+WZUhSp04FwId3H8w8Enmnaul6cEdMGZorytbnA4Mxomcw7DQ3QIB/ACP//pdNa7cAkDdfbpatWaT3so++UXRYWBj9ew9mzar1AHTu2oEZc6aYbcumQPArYP5FQBPx+LEXAH/kzGHmkcQmKrJ54/PWaH3ISSqTK2vQvkb3z+OK/eZsaHEbKoKXO4NgLEErxxK/pM+dPk/frgN5/coHKysr+gzoych/h+k9k6WvpP38PtK6WXvOnb2AtbU1U6ZPoGefbuL0K4EgHhKMqL2ePAUgR47sZh5JbDK4ZwDg1cvXsu4z5zp1XAx1LKYlTY3rMr1vbkEHBgYxfuQkVixeBUDmLJlYtHw+ZcqVktWXyv71lPSD+w9p2rAlz5954+KSmDUbV1CjZjW9xyUQJAQSjKifPX0GQNbsWcw8kthkyZoZgOfPvI3aj7Gi6uj29YyuLQFdS5XKETQYfpob4MK5S/TvNgjv5y8A6NC5LROm/kvixLrX6QbDZN4fOnCEDm268PXrNzJnycS2XRv1OuRDIEhoGL0ymSUgSRLez18CkDWrZYk6W3blnnPf976yMr+NjVz5RGHuE7Dkos/hH9omiEX3JbewihaS/vYtkGEDRtKgehO8n78gQ8b07DqwlTn/m2F2SUuSxMzpc2nasCVfv36jfIWynLl4XEhaIJBJghD1+/cfCAkJwcrKigwZ05t7OLFwdU1CuvRpAXj04LGse+WepCX3jVdXWYN+AjQm+p7MFSVnYwtam9/t6RNnqVC0cvRUd9uOrbl08yyVq1bSui+1Y9BT0sHBwXRq153RI8YiSRKdurRn76EdpPy+y0EgEGiPZb2LGolXL14BkC59WpOf+6wNefPl4Y3PW+7euUeJ0sWN2pfcamVRQpI7FR6rzxhCNOXUuCE/JOjyocUY69AAnz99Zszw8dEZ3e6ZMjJ34UyLEDSAz2sfmjVug+fNW9ja2jJt5iS69eysd7sCQUIlQUTUPj5vAMiQwbKi6SgKfT9O8NbNO2YeiXr0ia5jos850HLaNES7ukTPoNuBI9pIWpIkdm/fS9nCldi0dgtWVlZ07dGJSzfPWIykL56/TLlSVfC8eYsUKZKz99AOIWmBQE8SRETt81op6vQZ0pl5JKopWqwwANev3JB9ry7Z37rWADdEdK1yPBY0Pa7z2ryOktM2in714jVDB4zg2KETgLIewLxFMylVpqRO/f40DgOsR69YuppB/YcSERFBvvx52bJjvShiIhAYgAQRUb/9Xjo0dZrUZh6Jakp+n+5+8sgL3w9+JulTnzdmQ0XXloKukTPoflyntuvQERERLJyzmHJFKnHs0Ans7OwYNnIw566eMIikDXFyWWhoKL2796df70FERETQuGkDTp4TlcYEAkORIET94b0vYLmiTp4iOXm/1x8/f+aC7PvlJpVF36enrH9lYesjZzC+oEE5w1K1bC3GDB9PUFAwZcqV4sK1Uwwf9bdByvAaaj26ukdtVq9ch7W1NeMmjWHNhhXiDGmBwIAkCFH7+ipFncotpZlHoh6PKhUBOHnstEn71ffNWl/hmYqY49Qrm90Egv708RMDeg6hVqV63Ltzn2TJkzF/8WwOHNtNztyGKYFrCEmfO3uBsiUrc/3aTZIlS8rOfVsYNKSfqDQmEBiYBCHqTx+VB16ksOCtIdVqVgXgxJGTREbKrzima1QNhjtO0pKkbSgxww85G1vQkZGRrF2xnlIFyrN+1UYAWrVtzvU7F2jboRXW1vr/dzXEVLckScyb/T9qV2+A7wdf8hfIx7nLJ6lWvYre4xMIBD9jOVk8RuTz5y8AJE+e3LwD0UDZ8qVxTeqK7wc/Ll+8Stny8o8C1aesqK4JZuqIK0dDJ6Cp68eQ6CM0uR+crl+5wfCBo7h18zagPERj5ryplC6rf/nP6DEZ4APZ169f6dWtHzu27Qagecu/mL9oFs7Oznq3LRAIVJMgIuqoil+uSZOYeSTqsbOzo069WgDs2rrbLGMwVGStirgRrqG+DI0+0TPIi6AB3r19T+8u/alVqR63bt7GJYkLU2ZM4OyVEwaTtCGiaICHDx5RqWw1dmzbja2tLTNmT2H56kVC0gKBkUkQog4I+ApAkiSWK2qAps0bA7B7+z6Cg4N1akOfKXAw3Jv6r4S+cgb5gg4JCWHu9AWUKlCeLeu3Acpp7hv/XaRHn67Y2hrmd2Co3+X2rTupULoqDx88Jm26tBw9uZ8evbuK9WiBwAT89qIODw8nLCwMgMQu+tU+NjYVKpUjo3sG/L/4s2/XAZ3b0VfW8PsL2xByBvmCliSJPTv2Ua6wBxNGTybwWyDFShTlxLlDLFw2z2A7Ewz1+wsNDWVQv6G0a9WZwMBAKlQqz4WrpyhZuoQBRikQCLThtxd1UNCPyNTZ2cmgbRtaZDY2NrTr2BqA5QtXIUmSzm0ZQtbwewnbUHIG+YIG5Tp0nSoN6dy6Oy+8X5I2XRqWrFzAsTMHKFaiqN5jih6bgX5fL1+8olql2ixeuAyAwUMHsP/wTlKnTmWQ9gUCgXb89qIOCQmJ/rcl1vmOS/tObXBwcMDzxi0uX7hq7uFE8ysKO6aYDTV2XQT9/Jk3nVt3p1alely9dA1nZyeGjRzMjbuXaN7qL4Nkc4Nhf0cH9x+mTPGK3Liu3Hq1Y89mxk4YhY2NYT4ACgQC7fntRR0Rrsw2trOz+yXW09xSudGyTTMAZk2Zo1dbhoqqY7VpYPEZEmOIGX7IWe7r6fvBj2EDRlKmYEX27NiHlZWVch367mWGj/rboEVBDPXzhoeHM2LoaJo2bMnnz18oVrwIF66epuaf1Q3SvkAgkM/vL+oI5XYlQyXnmIL+g/tga2vL6RNnuXj+sl5tGUPW0W2bUdpxpWyMMegiZ4AA/wCmjJtOsTylWbF4FREREVStXpnz106ycNm86GNNDTJGA/7sL1+8orpHbebOWgBAzz7dOHb6IJkyuxukfYFAoBu/vaij+BWi6SgyZ8lE2w6tAPh32HgUCoVe7ekqHFl9qBCn3olaato09gcDXV+vwMAg5s9cSLE8pZk5eQ5BgUEUKVaYvYd3sGPfZvLlz2vYcRrwddi35wCli1Xg6pXruLomYdO2tUyfNfmXWC4SCH53Eoyo9UnMMgfDRg4mceJEeN64xaZ1Ww3SprFlrbJPDbKN78uk49RxehsgODiYJQuWUzxvGcaNnMjnT1/4I2cO1m5ewcnzh6noUd6wYzXg6xMSEsKgfkNp3qQNX774U6x4ES5eO0O9BnUM0r5AINCf317UNjbKHzEiwnBVt2JiLKGkTpOaof8MBmDsiPEGO1XLHLK2VPSRMygFvfR/Kyiepywjh4zB970vmTK7s2j5PC57nqV+w7oGn8kx5N/b40dPqFS2enRWd98BvTh2+qA49UogsDB+e1HbfZ+6Cw8P/+Wi6h59upK/YD4+f/rC4N5DDTZ+U0yFWyr6yhng27dAFs5ZTNHcpfln8Gjev3tPRvcMzPnfDK7/d5GWbZobPDvakFG0JEmsWbWesiU8+O/OXVKmTMHOfVuYPG28mOoWCCyQXyfDSkccHR2j/x0aGhrre0vHzs6OhcvmUrlsTQ7uO8zaFetp17mNwdrXpzb4r4ShPpR8+fyFFYtXsfR/K/j08TMA7pkyMmBIX1q3a2E0yRkyiv78+Qv9eg2MrtVdqXJFlq9aSNp0hktwEwgEhuW3j6hjFjkJDAwy40h0o0DB/IweNwKAfwaP4daN2wZt/3eNrg0ROUfx5vUbRg8dS6E/SjBl3Aw+ffxM1mxZmL94NjfuXqJjl3ZGkbSh1+ovnL9E6WIVomt1j504mn2HdghJCwQWzm8fUdvZ2eHo6EhISAjfvn4jRQrDn6Bl6JOn4tK7fw8uXbjCwf2HadO0I0fP7SetAbf4QOyo81eMso3xYePunXssmruEnVv3ROc45M2Xm4F/96NB43pG2/Jn6LyH8PBwJo2fxvQps5AkiazZsrBq7VKDVkMTCATG47cXNYBrUldC3oXw5Ys/v2KajLW1NYtXLqB6xdo8fPCI5g3asOfodpImS2qU/qKkZ8nCNtYsgEKh4PjhEyyev4xzpy9EP16uQhn6DexNtZpVjLrVz9CSfvLYi45tu3HzhicArdu2YMacKbi4uBi0H4FAYDwShKiTJ0/K+3fv+fTpk7mHojOurknYunsD1Sr+yf27D2hWrzXb9m8kiavxTgSLK0NzidsUU/P+X/zZtG4rKxavxvuZN6CsvV6/UV169+9B0WKFjdq/oQUtSRIrlq5m2JCRBAcHkyxZUuYtnEWjJg0M2o9AIDA+CULUKVOmBB7h52uYLU6qMPb0N0CmzO7sOrCVOtUbcfO6J43+bMbm3etJ6ZbCqP1GoUqYhpS3OdbKb3v+x5rl69ixeWf0AS6uSV1p26EVXXt0wj1TRqP2b4ztfe/evadn174cOXQMgIoeFVi28n+kz5De4H0JBALjkyBEnSq1GwDv330w80j0J2++POw5tI0Gf/7F7Zt3qF25Pht3rSVb9qxmGc+vmIj27es3dm3bw7qVG/G8cSv68Tx5c9O5eweat2pq0Drc6jCGpHfv3EvfngP5+PETDg4OjJ0wil59uxvs4A+BQGB6EoSoo7Ja37x5a+aRGIYCBfNz+MReGtdrzjOv59QoX4fFqxdQtUZlcw/NYpEkicsXrrJp3Rb27NhH0PcdAHZ2dtRrWIdOXdtTplwpk5SaNYagP3/+wqB+Q9myaRug/BtZvnoRefPlMXhfAoHAtCQIUWf4PuX36uUro/ZjiunvKP7IlYPjZw/S6q/2XLtygxYN2tBnYE+Gjh6Mg4ODScbwK/D0yVO2b97F9k078X7+IvrxHH9kp22HVrRs04yUbilNMhZjVbE7euQ4Pbv24+2bt1hbWzPo7/6MGPW3KF4iEPwmJAhRR5VEfOFtXFGbmtRpUnPg2G5GDBnN8iWrmD9rISeOnmLOohkULlbI3MMzGz6vfNizYx+7tu3l1s0f+85dXBJTv3E9WrdtTqkyJU16UIsxJB0QEMCwwSNZs2o9oPzwsWzlQoqXLGbwvgQCgflIEKLOkjULAE+9niJJktG315gqqgZwcHBg5rypVKpSgX49B3P/7gNqVKhD206tGDpqCG6pTBMtmhvv5y84sPsQB/Yc5NqVG9GP29jY4FGlIs1aNqFO/T9xdnY26biMFUUfP3aSXt368fqVD1ZWVvTo3ZWxE0aZ/OcTCATGx0qy4ALYAQEBuLq68vajN0mS6L4NKTg4GDfXDEiSxHOfR6RK5WbAUf6MKUUdEz9fP0b8PZotG7cDkChxIrr36UL3Pl2MtufaXERGRuJ5/RZHDx3n8P6jPLj3MPo5KysrSpctSaMm9WnQuB5uRv59q8JYgvb3D2DE36NYvXIdAFmyZmbx8gWUK1/GKP0JBALjEBAQQNoUmfH394/XbwlC1AD5chbh+TNvDh7bQ8VKhj12UBXmkjXAhXOX+GfomOiM5kSJE9G6fQs69ehAlqyZzTYufXnz+g1nTp3j9PGznD5xJrreNigj5zLlS1Ovfm3qNqhN2nRpzDJGYx7PefjgUfr0HMAbH2VSZI9eXRk7cZRJMtQFAoFhkSPqBDH1DcptTc+feXP3zj2TiNqclC1fmlMXjrB3936mTZzJ3f/us2TBcpYsWE4Fj3L81aoJf9atiUsSy61OJUkSr1/6cOXiVS5duMyFs5d4+uRZrGtcXZNQuZoHtWpXp1rNqiRPnsxMozWuoP38PvL3wBHRGd3Zsmdl4dJ5IooWCBIICUbUBQrmY//eg9zyvGOS/ky9Vh0XKysr6jesS70GdThx9BSLFizlxLFTnD11nrOnzmNvb0/FKuWpWqMylapWJEvWzCZNrorL50+f+e/2XW7duMPN67e4ee0mb9+8i3WNtbU1hYsWwqNKRapU86B4yaLY2dmZacRKjCloSZLYtmUnQwYOx8/XD2tra3r17c7osSPEWrRAkIAwiahDQ0MpWbIkt2/fxtPTk0KFCpmi21gUKaosAXnzxk2T921OrKysqFqjMlVrVOaF90s2b9jKts07efLYi2OHTnDs0AkA0qRNQ/FSRSlctBD5CuYld56cpE6b2qDyVigUvH/7nmfPvHnm9RyvR148eviEB3cfRE/nxsTGxoYChfJTpmxJylUoS5nypUma1NVg49EHYwoa4OWLVwzoO4TDB48CymIsi5bOEwdpCAQJEJOsUffr148nT55w6NAhWaI25Br1hw++ZEmfE4DXH56RzETJVeaMqtUhSRIPHzzi4P4jnDh6kquXrxMeHv7TdYkSJyJTZncyuKcndZrUpHRLQdKkrrgkccHJyQl7B3tsbJSVySIjIwkLDSM4OJjAb4H4+wfw6eNnPvp95P27D7z1ecsbn7cq+4kiU2Z3ChUpSJGihSheshiFixa0uMjR2IKOjIxk0YKljBszicDAQOzt7fl7+EAG/d1f7IsWCH4jLCqZ7NChQwwcOJAdO3aQN29es4kaoGCe4ng9ecr23ZuoVbuG3u1piyXKOiZBQUHcuObJtas3uHXzNvf+u8+zp89RKBQG78vGxoaM7hnIlj0rOf7Izh+5cpAnby7y5MuDqxEPGNEXYwsawPPmbfr0GIDnzVsAlClbivmLZpMrd06j9y0QCEyLxSSTvX//ni5durB7926LiIzKlS+D15OnnD1z3qSitnScnZ0pX7Es5SuWjX4sNDSUF89f8sL7Ja9f+/D+3Xs++n3i8+fPfPsaSFBQEGFhYURGRmJlZYWNjQ12dnY4OzuT2CURSZIkIVnyZKRMmYJUaVKRLl0a0mdIT7r0aY12jrMxMIWgv379yrgxk1j8v2UoFAqSJnVl/KQxtO/UVtToFggExhO1JEm0b9+e7t27U6xYMby9veO9JzQ0lNDQ0OjvAwICDDqmSpUrsHrlOk4cO2XQduPD3IlluuDg4MAfuXLwR64c5h6KWTCFoCVJYteOPfw96B/efq9D36RZI6bOmEiaNKmN3r9AIPg1kP1xfdiwYVhZWWn8evjwIfPnz+fr168MHz5c67YnT56Mq6tr9FfGjIY9YtCjSiWsrKy4d/c+Pq99DNp2fJjijV+gP7bWtib5XXk9eUqDOk1p06Ijb9+8JWu2LOw5uJ0165cLSQsEgljIXqP29fXl48ePGq/JmjUrf/31F/v27YuVNRwZGYmNjQ2tWrVizZo1P92nKqLOmDGjwdaoATzKVefqlevMXTCTzt06GKRNOfxqkXVCwVQfpIKCgpgxdTazZ8wnLCwMe3t7Bv3dj8FDB+Do6GiSMQgEAvNjEclkL1++jDV1/ebNG2rUqMH27dspWbIkGTJkiLcNQyeTAcycPpfRI8ZSuWol9h3aaZA25SJkbRmYcpZDkiT27t7PsCEjeflCeThM1eqVmTlnKtlzZDPZOAQCgWVgEclk7u7usb5PnDgxANmyZdNK0saiQcO6jB4xljOnzvHhg6/R636r4ldcs/6dMPUyxIP7DxkycDinTpwBIKN7BqZMn0D9hnXNWmRGIBD8GiS4lNJs2bNSpGhhIiMj2bF1l9nGIdasTY+p1p+j+Pz5C38PGkGpohU4deIMDg4ODB0xiBt3LtGgUT0haYFAoBUmE3XmzJmRJMksVcni0qLVXwCsW7PRrOMQsjY+UXI25WsdERHB8iWrKJSnOP+bt5iIiAhq163FjTuXGD32H3GIhkAgkEWCi6gBmrVsir29Pbdv3eHmdU+zjkXI2jiYWs5RnDh+itLFKtKv9yD8/D6SK/cf7Dm4na07N/zSJ5cJBALzkSBFnSJFcho2rg/A4oXLzTwaIWtDYY7oOYoH9x/SqF4z6tVqzP17D0iWLCkzZk/hys3zVK1W2eTjEQgEvw8JUtQAPXp1AWDblh28ffsunquNj7kE86tjTjkDvHv3nr49B1KicDmOHDqGra0tPft0487DG/To3fWXqsImEAgskwQr6uIli1GqdAnCwsJYMHeRuYcTjZB1/JhbzgDfvn1j0vipFMhVjBXLVqNQKKhbvzY37lxi+qzJZj0bWyAQ/F4kWFEDDB46AIBli1fi6+tn5tH8wNwSskQsQc4AYWFhLF20gnw5izJx3FQCAwMpVrwIR08dYPP2dWJPtEAgMDgJWtQ1/6xOocIFCQwMZOa0OeYezk9YgpjMiaXIGZRnaW/ZtJ0i+UsxoO8QfD/4ki17VtZuXMHpC8coW660uYcoEAh+UxK0qK2srBgz/h8AlixcjvfzF2YekWosRVbGJqaYLeXnlSSJA/sOUapoBTq27crzZ96kSp2KWXOncePOJRo3bSj2QwsEAqOSoEUNUK16FTyqVCQsLIzhf48y93A0YmkS0xdLFHMUkiRx/NhJKpWtxl+NWnHv7n1cXZMwZtw/3H10g249O2NnZ2fuYQoEggRAghe1lZUVU2dMxMbGhr2793Pk8DFzD0krLFVwmrBkMUchSRKnTp6hWqU/qf9nE65fu4mzszOD/u7P3cee/D18kChYIhAITEqCFzVA3nx56NmnGwD9eg3i69evZh6RPCxRgHHHZCnjUkeUoKt71KZOjYZcungFBwcHevbpxt3HNxk3cbTI5BYIBGZBiPo7o/4dTuYsmXj18jXDBo8093D0QpUkDS1KdX38ClKOiSRJHDl8jKoVa1GnRkMuXriMg4MD3Xt24d7jm0yfNZnUqVOZe5gCgSAB8+u8oxqZRIkSsXj5AmpVrcfqleuoXrMq9RvWNfewDMqvJFBjo1Ao2LfnANMmz+KW520AHB0d6dCpLQOH9CVd+nRmHqFAIBAoERF1DMpXKEv/QX0A6NGlD8+ePjfziASGJiwsjLWrN1C0QGla/tWOW563cXZ2pk//ntx9fJMZc6YISQsEAovCSpIkydyDUEdAQACurq68/egd78HahiI8PJyaVepy+dJV8uTNzclzh3FxcTFJ3wLjERAQwKoVa1kwdxFvfN4CkDSpK916dqZnn+6kTJnCzCMUCAQJiYCAANKmyIy/v3+8fhNzoXGws7Nj3aaVlCtVhfv3HtCuVWe27twgajb/orx+9ZqFC5ayavkaAgKUSYJp0qahd7/udOrS3mQfAAUCgUBXxNS3CtKlT8fWHetxdHTkyKFj9O05EAueeBCo4NqV67Rr3Zk8OQozd9YCAgK+kiv3HyxcMpf7TzwZMKivkLRAIPglEGGiGoqVKMrq9cto+Vc71qxaT6LEiZg2c5KoQmXBhIWFsXP7Hhb/bynXrt6IfrxCpfL07d+TGrWqYW0tPpsKBIJfCyFqDdStX5v/LZlLjy59WDh/CZJCYtqsSeLN3sLwee3DimWrWbViHR/efwDA3t6eps0a06tvdwoWym/mEQoEAoHuCFHHQ9v2rYiMiKB3jwEs+t9SvnzxZ9GyeaJ8pJmJjIzkxPFTrFi6moP7D6NQKABImy4tnbu2p0PndmL/s0Ag+C0QotaCDp3b4eDoSPfOvdm0YQtv375j/eZVJEuW1NxDS3D4vPZh3ZqNrFm1npcvXkU/Xr5CWbr26ETd+rXFhyiBQPBbIUStJS1bNyN5iuS0bdGR0yfPUKF0FTZtW0e+/HnMPbTfnpCQEA7sO8T6tZs4fvRkdPScNKkrLVo3o1OX9uTOk8vMoxQIBALjIPZRy+TO7bs0a9yKly9e4ejoyPRZk+jQuZ1IMjMwkiRx5dJVNm3YyvatO/nyxT/6ufIVytK2Q2saNq6Hk5OTGUcpEAgEuiFnH7UQtQ58/PiJTu26cezICQBq1a7B/IWzSJsurZlH9uvz4P5Dtm7ewbYtO3j+zDv68fQZ0tGydXPatGtJtuxZzTdAgUAgMABC1CZAoVAwf+5C/h05gbCwMFxdkzB2wmg6dmmHjY2NuYf3S/Ho4WN279zLjm27uXf3fvTjiRIlol6DOrRs04yKlcqL11UgEPw2CFGbkHt379OjS19uXL8JQIGC+Zk8fTyVPCqYeWSWiyRJ3L71H/v27GfP7v08uPcw+jk7Ozuq1ahC02aNqV23pjj7WSAQ/JYIUZuYyMhIli5awfh/J+HvHwBAlWoe/DNqKCVLlzDz6CyDkJAQzp45z+EDRzl44DCvXr6Ofs7W1haPKhVp2Lg+9RrUEdn0AoHgt0eI2kz4+voxZcJ0li9dRUREBAAVKpaj74BeCa4qliRJeD15yoljpzh29ARnT58nKCgo+nknJyeqVq9MvQZ1qFW7hpCzQCBIUAhRmxnv5y+YOmkGG9dviRZ2lqyZad+pLS1b/fXbHqP4+tVrzp65wJlTZzlz+lysqBkgXfq01KhZjT/r1MSjSkWRsS0QCBIsQtQWQtTJTWtWroveXmRtbU2FSuVp3KQ+f9atRZo0qc08St2IiIjg/r2HXL18jUsXr3Dp4mVeeL+MdY29vT2lypSkavXKVKtehfwF8optbAKBQIAQtcURFBTE9q27WLd6AxcvXI5+3MrKiiJFC1O1ugeVKlekeImiFhllhoeH8+jhE+7c/o9bnrfxvHGLW553Yk1lA9jY2FCocEEqVCpHRY/ylClbSiSDCQQCgQqEqC0Y7+cv2L5tF3t37Y/OFI/Czs6OQoULUKx4UQoUyk++fHnImfsPk8nu06fPeD/zxsvrGV5PvHj08DEP7j/i8aMnhIeH/3S9i0tiipUoSqnSJShVpiQlSxXHxcXFJGMVCASCXxkh6l+Et2/ecvTICU6dPMO5Mxd49/adyuvSZ0hHliyZyeiekfQZ0pEmTWpSpExBsuRJcU2ShESJE+Hk5IS9vR02tt+rwkoS4eERhISEEBwcQuC3QAICAvjyxZ+Pfh/x9fXj/bv3vH37Dp/Xb3j96jUBAV/VjjVJEhfy5c9LwcIFKFykEEWKFiJnrj8SVIKcQCAQGAoh6l8QSZLwfv6Cq1euc/OGJ3du3+X+vQf4+fqZdByp06Qma9bM5PgjOzly5iB37pzkyZsb90wZxfqyQCAQGAgh6t+Ijx8/8fTJU7y9X/Ly5Sve+rzl/fv3fPT7xKdPn/n69SuB3wIJDg4hLCwsOsvc2toaOzs7HBzscXJ2JnHiRLi4uOCa1JUUKZKRMmVKUqdJRZq0aUiXPi0ZM2Ygo3sGsaYsEAgEJkCOqMXpWRZOihTJSZEiOSVKFTf3UAQCgUBgBsQCo0AgEAgEFowQtUAgEAgEFowQtUAgEAgEFowQtUAgEAgEFoxRRZ05c2asrKxifU2ZMsWYXQoEAoFA8Fth9KzvcePG0aVLl+jvReUqgUAgEAi0x+iidnFxIU2aNMbuRiAQCASC3xKjFjzJnDkzISEhhIeH4+7uTsuWLRkwYAC2tqo/H4SGhhIaGhr9vb+/P+7u7jx+/h8uSUQkLhAIBILfg68BX/kjS36+fPmCq6urxmuNGlH37duXIkWKkDx5ci5evMjw4cN5+/Yts2bNUnn95MmTGTt27E+P/5ElvzGHKRAIBAKBWfj69Wu8opYdUQ8bNoypU6dqvObBgwfkypXrp8dXrlxJt27d+PbtGw4ODj89HzeiVigUfPr0iRQpUvxWdaYDAgLImDEjr169SrClUUG8DjERr8UPxGvxA/FaKPkdXwdJkvj69Svp0qWL93Aj2RH1oEGDaN++vcZrsmbNqvLxkiVLEhERgbe3Nzlz5vzpeQcHh58EnjRpUrlD/GVIkiTJb/NHpw/idfiBeC1+IF6LH4jXQsnv9jrEF0lHIVvUbm5uuLm5yR4QwK1bt7C2tiZVqlQ63S8QCAQCQULDaGvUly5d4sqVK3h4eODi4sKlS5cYMGAArVu3JlmyZMbqViAQCASC3wqjidrBwYHNmzfz77//EhoaSpYsWRgwYAADBw40Vpe/DA4ODowZM0blOn1CQrwOPxCvxQ/Ea/ED8VooSeivg0WfRy0QCAQCQUJH1PoWCAQCgcCCEaIWCAQCgcCCEaIWCAQCgcCCEaIWCAQCgcCCEaI2I97e3nTq1IksWbLg5OREtmzZGDNmDGFhYeYemlmYOHEiZcqUwdnZ+bcudKOK//3vf2TOnBlHR0dKlizJ1atXzT0kk3P27Fnq1q1LunTpsLKyYvfu3eYeklmYPHkyxYsXx8XFhVSpUtGgQQMePXpk7mGZhUWLFlGgQIHoQielS5fm0KFD5h6WyRGiNiMPHz5EoVCwZMkS7t27x+zZs1m8eDEjRoww99DMQlhYGE2bNqVHjx7mHopJ2bJlCwMHDmTMmDHcvHmTggULUqNGDT58+GDuoZmUwMBAChYsJOcjhwAAA95JREFUyP/+9z9zD8WsnDlzhl69enH58mWOHTtGeHg41atXJzAw0NxDMzkZMmRgypQp3Lhxg+vXr1O5cmXq16/PvXv3zD000yIJLIpp06ZJWbJkMfcwzMqqVaskV1dXcw/DZJQoUULq1atX9PeRkZFSunTppMmTJ5txVOYFkHbt2mXuYVgEHz58kADpzJkz5h6KRZAsWTJp+fLl5h6GSRERtYXh7+9P8uTJzT0MgYkICwvjxo0bVK1aNfoxa2trqlatyqVLl8w4MoGl4O/vD5Dg3xciIyPZvHkzgYGBlC5d2tzDMSlGPeZSIA8vLy/mz5/PjBkzzD0UgYnw8/MjMjKS1KlTx3o8derUPHz40EyjElgKCoWC/v37U7ZsWfLly2fu4ZiF//77j9KlSxMSEkLixInZtWsXefLkMfewTIqIqI3AsGHDsLKy0vgV903Yx8eHmjVr0rRpU7p06WKmkRseXV4LgUCgpFevXty9e5fNmzebeyhmI2fOnNy6dYsrV67Qo0cP2rVrx/379809LJMiImojIPco0Ddv3uDh4UGZMmVYunSpkUdnWvQ5FjUhkDJlSmxsbHj//n2sx9+/f0+aNGnMNCqBJdC7d2/279/P2bNnyZAhg7mHYzbs7e3Jnj07AEWLFuXatWvMnTuXJUuWmHlkpkOI2gjIOQrUx8cHDw8PihYtyqpVq+I9QPxXQ59jURMC9vb2FC1alBMnTtCgQQNAOd154sQJevfubd7BCcyCJEn06dOHXbt2cfr0abJkyWLuIVkUCoWC0NBQcw/DpAhRmxEfHx8qVapEpkyZmDFjBr6+vtHPJcRo6uXLl3z69ImXL18SGRnJrVu3AMiePTuJEyc27+CMyMCBA2nXrh3FihWjRIkSzJkzh8DAQDp06GDuoZmUb9++4eXlFf398+fPuXXrFsmTJ8fd3d2MIzMtvXr1YuPGjezZswcXFxfevXsHgKurK05OTmYenWkZPnw4tWrVwt3dna9fv7Jx40ZOnz7NkSNHzD0002LutPOEzKpVqyRA5VdCpF27dipfi1OnTpl7aEZn/vz5kru7u2Rvby+VKFFCunz5srmHZHJOnTql8vffrl07cw/NpKh7T1i1apW5h2ZyOnbsKGXKlEmyt7eX3NzcpCpVqkhHjx4197BMjjjmUiAQCAQCC+b3WhAVCAQCgeA3Q4haIBAIBAILRohaIBAIBAILRohaIBAIBAILRohaIBAIBAILRohaIBAIBAILRohaIBAIBAILRohaIBAIBAILRohaIBAIBAILRohaIBAIBAILRohaIBAIBAILRohaIBAIBAIL5v+L4Bh0aPufRQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean = [0.5, -0.5]\n",
    "cov = [[1, 1], [1, 2]]\n",
    "probability = [.5, .75, .95, .99]\n",
    "def probLevel(p):\n",
    "    D = 1\n",
    "    return (1 - p) / (2 * math.pi * D)\n",
    "levels = [probLevel(p) for p in probability]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "\n",
    "x, y = np.mgrid[-2.8:3.8:.01, -5:4:.01]\n",
    "pos = np.empty(x.shape + (2,))\n",
    "pos[:, :, 0] = x; pos[:, :, 1] = y\n",
    "rv = multivariate_normal(mean, cov)\n",
    "\n",
    "\n",
    "CS = ax.contourf(x, y, rv.pdf(pos), cmap=cm.GnBu, levels=50)\n",
    "ax.contour(CS, levels=levels, colors=['black'])\n",
    "ax.plot(*mean, color='black', marker='o')\n",
    "\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mixtures of Normals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:25.610235Z",
     "iopub.status.busy": "2022-04-26T20:05:25.610024Z",
     "iopub.status.idle": "2022-04-26T20:05:25.642336Z",
     "shell.execute_reply": "2022-04-26T20:05:25.641314Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4589.92885731864\n"
     ]
    }
   ],
   "source": [
    "df = sp500_px.loc[sp500_px.index >= '2011-01-01', ['XOM', 'CVX']]\n",
    "mclust = GaussianMixture(n_components=2).fit(df)\n",
    "print(mclust.bic(df))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:25.645932Z",
     "iopub.status.busy": "2022-04-26T20:05:25.645129Z",
     "iopub.status.idle": "2022-04-26T20:05:25.784502Z",
     "shell.execute_reply": "2022-04-26T20:05:25.783210Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(4, 4))\n",
    "colors = [f'C{c}' for c in mclust.predict(df)]\n",
    "df.plot.scatter(x='XOM', y='CVX', c=colors, alpha=0.5, ax=ax)\n",
    "ax.set_xlim(-3, 3)\n",
    "ax.set_ylim(-3, 3)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:25.787966Z",
     "iopub.status.busy": "2022-04-26T20:05:25.787220Z",
     "iopub.status.idle": "2022-04-26T20:05:25.793564Z",
     "shell.execute_reply": "2022-04-26T20:05:25.792622Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean\n",
      "[[-0.05031426 -0.21161823]\n",
      " [ 0.07246995  0.10494619]]\n",
      "Covariances\n",
      "[[[0.97123064 0.97764343]\n",
      "  [0.97764343 1.67233845]]\n",
      "\n",
      " [[0.26822676 0.27562091]\n",
      "  [0.27562091 0.51679853]]]\n"
     ]
    }
   ],
   "source": [
    "print('Mean')\n",
    "print(mclust.means_)\n",
    "print('Covariances')\n",
    "print(mclust.covariances_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Selecting the number of clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:25.796512Z",
     "iopub.status.busy": "2022-04-26T20:05:25.796146Z",
     "iopub.status.idle": "2022-04-26T20:05:26.783881Z",
     "shell.execute_reply": "2022-04-26T20:05:26.782886Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "results = []\n",
    "covariance_types = ['full', 'tied', 'diag', 'spherical']\n",
    "for n_components in range(1, 9):\n",
    "    for covariance_type in covariance_types:\n",
    "        mclust = GaussianMixture(n_components = n_components, warm_start=True,\n",
    "                                 covariance_type = covariance_type)\n",
    "        mclust.fit(df)\n",
    "        results.append({\n",
    "            'bic': mclust.bic(df),\n",
    "            'n_components': n_components,\n",
    "            'covariance_type': covariance_type,\n",
    "        })\n",
    "        \n",
    "results = pd.DataFrame(results)\n",
    "\n",
    "colors = ['C0', 'C1', 'C2', 'C3']\n",
    "styles = ['C0-','C1:','C0-.', 'C1--']\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(4, 4))\n",
    "for i, covariance_type in enumerate(covariance_types):\n",
    "    subset = results.loc[results.covariance_type == covariance_type, :]\n",
    "    subset.plot(x='n_components', y='bic', ax=ax, label=covariance_type, \n",
    "                kind='line', style=styles[i]) # , color=colors[i])\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Scaling and Categorical Variables\n",
    "## Scaling the Variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:26.788130Z",
     "iopub.status.busy": "2022-04-26T20:05:26.786993Z",
     "iopub.status.idle": "2022-04-26T20:05:27.423376Z",
     "shell.execute_reply": "2022-04-26T20:05:27.422563Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      loan_amnt     annual_inc     revol_bal   open_acc        dti   \n",
      "0  10274.160906   41241.205530   9950.095008   9.480338  17.718588  \\\n",
      "1  21444.318867  148736.057263  33152.689572  12.376733  13.831145   \n",
      "2  24290.909091  409746.465909  84710.988636  13.431818   8.148636   \n",
      "3  17809.760881   78669.452556  18933.405997  11.594003  17.016428   \n",
      "\n",
      "   revol_util   size  \n",
      "0   57.903425  13023  \n",
      "1   63.151084   1654  \n",
      "2   60.015647     88  \n",
      "3   62.183810   7906  \n"
     ]
    }
   ],
   "source": [
    "loan_data = pd.read_csv(LOAN_DATA_CSV)\n",
    "loan_data['outcome'] = pd.Categorical(loan_data['outcome'], \n",
    "                                      categories=['paid off', 'default'], \n",
    "                                      ordered=True)\n",
    "defaults = loan_data.loc[loan_data['outcome'] == 'default',]\n",
    "\n",
    "columns = ['loan_amnt', 'annual_inc', 'revol_bal', 'open_acc', \n",
    "           'dti', 'revol_util']\n",
    "\n",
    "df = defaults[columns]\n",
    "kmeans = KMeans(n_clusters=4, random_state=1, n_init='auto').fit(df)\n",
    "counts = Counter(kmeans.labels_)\n",
    "\n",
    "centers = pd.DataFrame(kmeans.cluster_centers_, columns=columns)\n",
    "centers['size'] = [counts[i] for i in range(4)]\n",
    "print(centers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:27.426441Z",
     "iopub.status.busy": "2022-04-26T20:05:27.426027Z",
     "iopub.status.idle": "2022-04-26T20:05:28.047384Z",
     "shell.execute_reply": "2022-04-26T20:05:28.046440Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      loan_amnt     annual_inc     revol_bal   open_acc        dti   \n",
      "0  10506.814810   51114.024278  11634.707310   7.509576  15.933778  \\\n",
      "1  10323.453512   53466.038196   6052.642631   8.664617  11.309106   \n",
      "2  25950.205142  116834.142232  32945.972921  12.396335  16.165914   \n",
      "3  13486.397177   55905.907924  16435.679660  14.322746  24.210014   \n",
      "\n",
      "   revol_util  size  \n",
      "0   77.784329  7399  \n",
      "1   30.990055  5357  \n",
      "2   66.123542  3671  \n",
      "3   59.462324  6244  \n"
     ]
    }
   ],
   "source": [
    "scaler = preprocessing.StandardScaler()\n",
    "df0 = scaler.fit_transform(df * 1.0)\n",
    "\n",
    "kmeans = KMeans(n_clusters=4, random_state=1, n_init='auto').fit(df0)\n",
    "counts = Counter(kmeans.labels_)\n",
    "\n",
    "centers = pd.DataFrame(scaler.inverse_transform(kmeans.cluster_centers_), \n",
    "                       columns=columns)\n",
    "centers['size'] = [counts[i] for i in range(4)]\n",
    "print(centers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dominant Variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:28.050932Z",
     "iopub.status.busy": "2022-04-26T20:05:28.050242Z",
     "iopub.status.idle": "2022-04-26T20:05:28.247470Z",
     "shell.execute_reply": "2022-04-26T20:05:28.246913Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "syms = ['GOOGL', 'AMZN', 'AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', 'XOM', \n",
    "        'SLB', 'COP', 'JPM', 'WFC', 'USB', 'AXP', 'WMT', 'TGT', 'HD', 'COST']\n",
    "top_sp1 = sp500_px.loc[sp500_px.index >= '2005-01-01', syms]\n",
    "\n",
    "sp_pca1 = PCA()\n",
    "sp_pca1.fit(top_sp1)\n",
    "\n",
    "explained_variance = pd.DataFrame(sp_pca1.explained_variance_)\n",
    "ax = explained_variance.head(10).plot.bar(legend=False, figsize=(4, 4))\n",
    "ax.set_xlabel('Component')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:28.250970Z",
     "iopub.status.busy": "2022-04-26T20:05:28.250371Z",
     "iopub.status.idle": "2022-04-26T20:05:28.257316Z",
     "shell.execute_reply": "2022-04-26T20:05:28.256642Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              0         1\n",
      "GOOGL -0.857310  0.477873\n",
      "AMZN  -0.444728 -0.874149\n",
      "AAPL  -0.071627 -0.020802\n",
      "MSFT  -0.036002 -0.006204\n",
      "CSCO  -0.029205 -0.003045\n",
      "INTC  -0.026666 -0.006069\n",
      "CVX   -0.089548 -0.037420\n",
      "XOM   -0.080336 -0.020511\n",
      "SLB   -0.110218 -0.030356\n",
      "COP   -0.057739 -0.024117\n",
      "JPM   -0.071228 -0.009244\n",
      "WFC   -0.053228 -0.008597\n",
      "USB   -0.041670 -0.005952\n",
      "AXP   -0.078907 -0.024027\n",
      "WMT   -0.040346 -0.007141\n",
      "TGT   -0.063659 -0.024662\n",
      "HD    -0.051412 -0.032922\n",
      "COST  -0.071403 -0.033826\n"
     ]
    }
   ],
   "source": [
    "loadings = pd.DataFrame(sp_pca1.components_[0:2, :], \n",
    "                        columns=top_sp1.columns)\n",
    "print(loadings.transpose())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Categorical Data and Gower's Distance\n",
    "> Currently not available in any of the standard packages. However work is in progress to add it to scikit-learn. We will update this notebook once it becomes available\n",
    "\n",
    "https://github.com/scikit-learn/scikit-learn/pull/9555/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:28.260727Z",
     "iopub.status.busy": "2022-04-26T20:05:28.260234Z",
     "iopub.status.idle": "2022-04-26T20:05:28.268057Z",
     "shell.execute_reply": "2022-04-26T20:05:28.267418Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     dti  payment_inc_ratio home_            purpose_\n",
      "0   1.00            2.39320  RENT      major_purchase\n",
      "1   5.55            4.57170   OWN      small_business\n",
      "2  18.08            9.71600  RENT               other\n",
      "3  10.08           12.21520  RENT  debt_consolidation\n",
      "4   7.06            3.90888  RENT               other\n"
     ]
    }
   ],
   "source": [
    "x = defaults[['dti', 'payment_inc_ratio', 'home_', 'purpose_']].loc[0:4, :]\n",
    "print(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```\n",
    "\n",
    "###############################################################\n",
    "## Figure 7-13: Categorical data and Gower's distance\n",
    "\n",
    "x <- loan_data[1:5, c('dti', 'payment_inc_ratio', 'home_', 'purpose_')]\n",
    "x\n",
    "\n",
    "daisy(x, metric='gower')\n",
    "\n",
    "set.seed(301)\n",
    "df <- loan_data[sample(nrow(loan_data), 250),\n",
    "                c('dti', 'payment_inc_ratio', 'home_', 'purpose_')]\n",
    "d = daisy(df, metric='gower')\n",
    "hcl <- hclust(d)\n",
    "dnd <- as.dendrogram(hcl)\n",
    "\n",
    "png(filename=file.path(PSDS_PATH, 'figures', 'psds_0713.png'), width = 4, height=4, units='in', res=300)\n",
    "par(mar=c(0,5,0,0)+.1)\n",
    "plot(dnd, leaflab='none', ylab='distance')\n",
    "dev.off()\n",
    "\n",
    "dnd_cut <- cut(dnd, h=.5)\n",
    "df[labels(dnd_cut$lower[[1]]),]\n",
    "\n",
    "\n",
    "## Problems in clustering with mixed data types\n",
    "df <- model.matrix(~ -1 + dti + payment_inc_ratio + home_ + pub_rec_zero, data=defaults)\n",
    "df0 <- scale(df)\n",
    "km0 <- kmeans(df0, centers=4, nstart=10)\n",
    "centers0 <- scale(km0$centers, center=FALSE, scale=1/attr(df0, 'scaled:scale'))\n",
    "round(scale(centers0, center=-attr(df0, 'scaled:center'), scale=FALSE), 2)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problems with Clustering Mixed Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:05:28.271871Z",
     "iopub.status.busy": "2022-04-26T20:05:28.271091Z",
     "iopub.status.idle": "2022-04-26T20:05:28.615331Z",
     "shell.execute_reply": "2022-04-26T20:05:28.614510Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "         dti  payment_inc_ratio  pub_rec_zero  home__MORTGAGE     home__OWN   \n",
      "0  16.977575           9.055062      0.921301    1.282308e-14 -1.429412e-15  \\\n",
      "1  17.197993           9.266666      0.917903   -6.661338e-16  1.000000e+00   \n",
      "2  21.796605          11.058379      0.975886    1.000000e+00 -3.885781e-16   \n",
      "3  13.097357           5.778804      0.838922    1.000000e+00 -3.053113e-16   \n",
      "\n",
      "     home__RENT  \n",
      "0  1.000000e+00  \n",
      "1  2.053913e-15  \n",
      "2 -3.552714e-15  \n",
      "3 -3.719247e-15  \n"
     ]
    }
   ],
   "source": [
    "columns = ['dti', 'payment_inc_ratio', 'home_', 'pub_rec_zero']\n",
    "df = pd.get_dummies(defaults[columns])\n",
    "\n",
    "scaler = preprocessing.StandardScaler()\n",
    "\n",
    "df0 = scaler.fit_transform(df * 1.0)\n",
    "kmeans = KMeans(n_clusters=4, random_state=1, n_init='auto').fit(df0)\n",
    "centers = pd.DataFrame(scaler.inverse_transform(kmeans.cluster_centers_), \n",
    "                       columns=df.columns)\n",
    "print(centers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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